메뉴 건너뛰기




Volumn 84, Issue 4, 2011, Pages

Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions. I. Analytical results

Author keywords

[No Author keywords available]

Indexed keywords


EID: 80052778758     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.84.043531     Document Type: Article
Times cited : (630)

References (160)
  • 2
    • 0001733408 scopus 로고
    • PRLAAZ 0080-4630 10.1098/rspa.1926.0133
    • P. Dirac, Proc. R. Soc. A 112, 661 (1926). PRLAAZ 0080-4630 10.1098/rspa.1926.0133
    • (1926) Proc. R. Soc. A , vol.112 , pp. 661
    • Dirac, P.1
  • 3
    • 0042985041 scopus 로고
    • ZEPYAA 0044-3328 10.1007/BF01327326
    • S.N. Bose, Z. Phys. 26, 178 (1924). ZEPYAA 0044-3328 10.1007/BF01327326
    • (1924) Z. Phys. , vol.26 , pp. 178
    • Bose, S.N.1
  • 7
    • 0000654465 scopus 로고
    • IMPDEO 0218-2718 10.1142/S0218271892000057
    • A.R. Liddle and M.S. Madsen, Int. J. Mod. Phys. D 1, 101 (1992). IMPDEO 0218-2718 10.1142/S0218271892000057
    • (1992) Int. J. Mod. Phys. D , vol.1 , pp. 101
    • Liddle, A.R.1    Madsen, M.S.2
  • 8
    • 0000553443 scopus 로고
    • PRPLCM 0370-1573 10.1016/0370-1573(92)90064-7
    • T.D. Lee and Y. Pang, Phys. Rep. 221, 251 (1992). PRPLCM 0370-1573 10.1016/0370-1573(92)90064-7
    • (1992) Phys. Rep. , vol.221 , pp. 251
    • Lee, T.D.1    Pang, Y.2
  • 9
    • 0000945218 scopus 로고
    • PRPLCM 0370-1573 10.1016/0370-1573(92)90123-H
    • P. Jetzer, Phys. Rep. 220, 163 (1992). PRPLCM 0370-1573 10.1016/0370-1573(92)90123-H
    • (1992) Phys. Rep. , vol.220 , pp. 163
    • Jetzer, P.1
  • 10
    • 0242350963 scopus 로고    scopus 로고
    • General relativistic boson stars
    • DOI 10.1088/0264-9381/20/20/201, PII S0264938103512047
    • F.E. Schunck and E.W. Mielke, Classical Quantum Gravity 20, R301 (2003). CQGRDG 0264-9381 10.1088/0264-9381/20/20/201 (Pubitemid 37358045)
    • (2003) Classical and Quantum Gravity , vol.20 , Issue.20
    • Schunck, F.E.1    Mielke, E.W.2
  • 12
    • 80052773715 scopus 로고    scopus 로고
    • The observations of Adams (1915) had led to the discovery that white dwarf stars such as Sirius B were very compact objects. As noted by Eddington (1926): "We have a star of mass about equal to the sun, and of radius much less than Uranus." These results could not be explained by classical physics.
    • The observations of Adams (1915) had led to the discovery that white dwarf stars such as Sirius B were very compact objects. As noted by Eddington (1926): "We have a star of mass about equal to the sun, and of radius much less than Uranus." These results could not be explained by classical physics.
  • 13
    • 80052714501 scopus 로고    scopus 로고
    • As noted by Fermi (1926), the Pauli (1925) principle was also formulated by Stoner (1924).
    • As noted by Fermi (1926), the Pauli (1925) principle was also formulated by Stoner (1924).
  • 14
    • 80052717429 scopus 로고    scopus 로고
    • This analogy takes even more sense when one realizes that the polytropic model of white dwarf stars that results from these considerations is mathematically similar to the Thomas-Fermi model of heavy atoms developed at the same period.
    • This analogy takes even more sense when one realizes that the polytropic model of white dwarf stars that results from these considerations is mathematically similar to the Thomas-Fermi model of heavy atoms developed at the same period.
  • 17
    • 0002569095 scopus 로고
    • ASJOAB 0004-637X 10.1086/143324
    • S. Chandrasekhar, Astrophys. J. 74, 81 (1931). ASJOAB 0004-637X 10.1086/143324
    • (1931) Astrophys. J. , vol.74 , pp. 81
    • Chandrasekhar, S.1
  • 19
    • 80052693519 scopus 로고    scopus 로고
    • For a brief history of the discovery of the limiting mass of relativistic white dwarf stars, and the important contributions of Anderson (1929), Stoner (1930), and Landau (1932), some of them having largely been forgotten, see Refs. .
    • For a brief history of the discovery of the limiting mass of relativistic white dwarf stars, and the important contributions of Anderson (1929), Stoner (1930), and Landau (1932), some of them having largely been forgotten, see Refs..
  • 20
    • 80052747308 scopus 로고    scopus 로고
    • note
    • - 3.
  • 21
    • 80052725207 scopus 로고    scopus 로고
    • Two years after Chadwick's discovery of the neutron in 1932, Baade and Zwicky (1934) proposed the idea of neutron stars and suggested that they would be formed in supernova explosions. The possibility of cold, dense stars composed principally of neutrons was also contemplated by Landau (1938).
    • Two years after Chadwick's discovery of the neutron in 1932, Baade and Zwicky (1934) proposed the idea of neutron stars and suggested that they would be formed in supernova explosions. The possibility of cold, dense stars composed principally of neutrons was also contemplated by Landau (1938).
  • 22
    • 36149005547 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.55.374
    • J.R. Oppenheimer and G.M. Volkoff, Phys. Rev. 55, 374 (1939). PHRVAO 0031-899X 10.1103/PhysRev.55.374
    • (1939) Phys. Rev. , vol.55 , pp. 374
    • Oppenheimer, J.R.1    Volkoff, G.M.2
  • 23
    • 0043147595 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.12.635
    • C.W. Misner and H.S. Zapolsky, Phys. Rev. Lett. 12, 635 (1964). PRLTAO 0031-9007 10.1103/PhysRevLett.12.635
    • (1964) Phys. Rev. Lett. , vol.12 , pp. 635
    • Misner, C.W.1    Zapolsky, H.S.2
  • 25
    • 0036187942 scopus 로고    scopus 로고
    • AAEJAF 0004-6361 10.1051/0004-6361:20011424
    • P.H. Chavanis, Astron. Astrophys. 381, 709 (2002). AAEJAF 0004-6361 10.1051/0004-6361:20011424
    • (2002) Astron. Astrophys. , vol.381 , pp. 709
    • Chavanis, P.H.1
  • 26
    • 35949024439 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.56.137
    • S. Chandrasekhar, Rev. Mod. Phys. 56, 137 (1984). RMPHAT 0034-6861 10.1103/RevModPhys.56.137
    • (1984) Rev. Mod. Phys. , vol.56 , pp. 137
    • Chandrasekhar, S.1
  • 27
    • 0001771296 scopus 로고
    • CMPHAY 0010-3616 10.1007/BF01907031
    • P. Hertel and W. Thirring, Commun. Math. Phys. 24, 22 (1971). CMPHAY 0010-3616 10.1007/BF01907031
    • (1971) Commun. Math. Phys. , vol.24 , pp. 22
    • Hertel, P.1    Thirring, W.2
  • 28
    • 36749113430 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.525172
    • J. Messer, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 22, 2910 (1981); 10.1063/1.525172
    • (1981) J. Math. Phys. (N.Y.) , vol.22 , pp. 2910
    • Messer, J.1
  • 29
    • 49149135835 scopus 로고
    • PYLAAG 0375-9601 10.1016/0375-9601(81)90991-9
    • J. Messer Phys. Lett. 83A, 304 (1981). PYLAAG 0375-9601 10.1016/0375-9601(81)90991-9
    • (1981) Phys. Lett. , vol.83 , pp. 304
    • Messer, J.1
  • 31
    • 33749256260 scopus 로고    scopus 로고
    • Phase transitions in self-gravitating systems
    • DOI 10.1142/S0217979206035400, PII S0217979206035400
    • P.H. Chavanis, Int. J. Mod. Phys. B 20, 3113 (2006). IJPBEV 0217-9792 10.1142/S0217979206035400 (Pubitemid 44481503)
    • (2006) International Journal of Modern Physics B , vol.20 , Issue.22 , pp. 3113-3198
    • Chavanis, P.H.1
  • 34
    • 0000276869 scopus 로고
    • JSTPSB 0022-4715 10.1007/BF01042598
    • M. Kiessling, J. Stat. Phys. 55, 203 (1989); JSTPSB 0022-4715 10.1007/BF01042598
    • (1989) J. Stat. Phys. , vol.55 , pp. 203
    • Kiessling, M.1
  • 35
    • 0036190825 scopus 로고    scopus 로고
    • AAEJAF 0004-6361 10.1051/0004-6361:20011438
    • P.H. Chavanis, Astron. Astrophys. 381, 340 (2002). AAEJAF 0004-6361 10.1051/0004-6361:20011438
    • (2002) Astron. Astrophys. , vol.381 , pp. 340
    • Chavanis, P.H.1
  • 36
    • 80052719795 scopus 로고    scopus 로고
    • Self-gravitating degenerate neutrino stars were initially suggested as a model of quasars.
    • Self-gravitating degenerate neutrino stars were initially suggested as a model of quasars.
  • 40
    • 0003127041 scopus 로고    scopus 로고
    • PYLBAJ 0370-2693 10.1016/S0370-2693(97)00825-3
    • N. Bilic and R.D. Viollier, Phys. Lett. B 408, 75 (1997). PYLBAJ 0370-2693 10.1016/S0370-2693(97)00825-3
    • (1997) Phys. Lett. B , vol.408 , pp. 75
    • Bilic, N.1    Viollier, R.D.2
  • 41
    • 0001332759 scopus 로고    scopus 로고
    • EPCFFB 1434-6044 10.1007/s100529900176
    • N. Bilic and R.D. Viollier, Eur. Phys. J. C 11, 173 (1999). EPCFFB 1434-6044 10.1007/s100529900176
    • (1999) Eur. Phys. J. C , vol.11 , pp. 173
    • Bilic, N.1    Viollier, R.D.2
  • 45
    • 0002602905 scopus 로고    scopus 로고
    • Violent Relaxation of Indistinguishable Objects and Neutrino Hot Dark Matter in Clusters of Galaxies
    • DOI 10.1086/310159
    • A. Kull, R.A. Treumann, and H. Böhringer, Astrophys. J. 466, L1 (1996). ASJOAB 0004-637X 10.1086/310159 (Pubitemid 126098137)
    • (1996) Astrophysical Journal , vol.466 , Issue.1
    • Kull, A.1    Treumann, R.A.2    Boehringer, H.3
  • 46
    • 0039838289 scopus 로고    scopus 로고
    • MNRAA4 0035-8711 10.1046/j.1365-8711.1998.01414.x
    • P.H. Chavanis and J. Sommeria, Mon. Not. R. Astron. Soc. 296, 569 (1998). MNRAA4 0035-8711 10.1046/j.1365-8711.1998.01414.x
    • (1998) Mon. Not. R. Astron. Soc. , vol.296 , pp. 569
    • Chavanis, P.H.1    Sommeria, J.2
  • 47
    • 36049054278 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.172.1331
    • D.J. Kaup, Phys. Rev. 172, 1331 (1968). PHRVAO 0031-899X 10.1103/PhysRev.172.1331
    • (1968) Phys. Rev. , vol.172 , pp. 1331
    • Kaup, D.J.1
  • 48
    • 36049058187 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.187.1767
    • R. Ruffini and S. Bonazzola, Phys. Rev. 187, 1767 (1969). PHRVAO 0031-899X 10.1103/PhysRev.187.1767
    • (1969) Phys. Rev. , vol.187 , pp. 1767
    • Ruffini, R.1    Bonazzola, S.2
  • 49
    • 36149004849 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.97.511
    • J.A. Wheeler, Phys. Rev. 97, 511 (1955). PHRVAO 0031-899X 10.1103/PhysRev.97.511
    • (1955) Phys. Rev. , vol.97 , pp. 511
    • Wheeler, J.A.1
  • 50
    • 80052724244 scopus 로고    scopus 로고
    • The case of self-gravitating bosons at nonzero temperature has been studied in.
    • The case of self-gravitating bosons at nonzero temperature has been studied in.
  • 51
    • 25344434676 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(83)91623-4
    • W. Thirring, Phys. Lett. 127B, 27 (1983). PYLBAJ 0370-2693 10.1016/0370-2693(83)91623-4
    • (1983) Phys. Lett. , vol.127 , pp. 27
    • Thirring, W.1
  • 52
    • 0002517174 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(84)90764-0
    • J.D. Breit, S. Gupta, and A. Zaks, Phys. Lett. 140B, 329 (1984). PYLBAJ 0370-2693 10.1016/0370-2693(84)90764-0
    • (1984) Phys. Lett. , vol.140 , pp. 329
    • Breit, J.D.1    Gupta, S.2    Zaks, A.3
  • 53
    • 0000679917 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.42.384
    • E. Seidel and W.M. Suen, Phys. Rev. D PRVDAQ 0556-2821 42, 384 (1990). 10.1103/PhysRevD.42.384
    • (1990) Phys. Rev. D , vol.42 , pp. 384
    • Seidel, E.1    Suen, W.M.2
  • 54
    • 0011263851 scopus 로고
    • NUPBBO 0550-3213 10.1016/0550-3213(89)90365-9
    • T.D. Lee and Y. Pang, Nucl. Phys. NUPBBO 0550-3213 B315, 477 (1989). 10.1016/0550-3213(89)90365-9
    • (1989) Nucl. Phys. , vol.315 , pp. 477
    • Lee, T.D.1    Pang, Y.2
  • 55
    • 0001044521 scopus 로고
    • NUPBBO 0550-3213 10.1016/0550-3213(89)90627-5
    • M. Gleiser and R. Watkins, Nucl. Phys. NUPBBO 0550-3213 B319, 733 (1989). 10.1016/0550-3213(89)90627-5
    • (1989) Nucl. Phys. , vol.319 , pp. 733
    • Gleiser, M.1    Watkins, R.2
  • 57
    • 0034598224 scopus 로고    scopus 로고
    • NUPBBO 0550-3213 10.1016/S0550-3213(99)00492-7
    • E.W. Mielke and F.E. Schunck, Nucl. Phys. NUPBBO 0550-3213 B564, 185 (2000). 10.1016/S0550-3213(99)00492-7
    • (2000) Nucl. Phys. , vol.564 , pp. 185
    • Mielke, E.W.1    Schunck, F.E.2
  • 58
  • 59
    • 84884868082 scopus 로고    scopus 로고
    • in edited by Friedrich W. Hehl, Claus Kiefer, and Ralph J.K. Metzler (Springer, New York
    • F.E. Schunck and A.R. Liddle, in Proceedings of the 179th W. E. Heraeus Seminar, edited by, Friedrich W. Hehl, Claus Kiefer, and, Ralph J.K. Metzler, (Springer, New York, 1998), p. 285.
    • (1998) Proceedings of the 179th W. E. Heraeus Seminar , pp. 285
    • Schunck, F.E.1    Liddle, A.R.2
  • 61
    • 8144223717 scopus 로고    scopus 로고
    • Dark matter and background light
    • DOI 10.1016/j.physrep.2004.07.006, PII S0370157304002996
    • J.M. Overduin and P.S. Wesson, Phys. Rep. 402, 267 (2004). PRPLCM 0370-1573 10.1016/j.physrep.2004.07.006 (Pubitemid 39473704)
    • (2004) Physics Reports , vol.402 , Issue.5-6 , pp. 267-406
    • Overduin, J.M.1    Wesson, P.S.2
  • 62
    • 0039738802 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(90)90788-8
    • M.S. Madsen and A.R. Liddle, Phys. Lett. B 251, 507 (1990). PYLBAJ 0370-2693 10.1016/0370-2693(90)90788-8
    • (1990) Phys. Lett. B , vol.251 , pp. 507
    • Madsen, M.S.1    Liddle, A.R.2
  • 65
    • 0001114681 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.72.2516
    • E. Seidel and W.M. Suen, Phys. Rev. Lett. 72, 2516 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.2516
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2516
    • Seidel, E.1    Suen, W.M.2
  • 67
    • 0038579350 scopus 로고    scopus 로고
    • The cosmological constant and dark energy
    • DOI 10.1103/RevModPhys.75.559
    • P.J.E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003). RMPHAT 0034-6861 10.1103/RevModPhys.75.559 (Pubitemid 36719930)
    • (2003) Reviews of Modern Physics , vol.75 , Issue.2 , pp. 559-606
    • Peebles, P.J.E.1    Ratra, B.2
  • 69
    • 11944268827 scopus 로고
    • ASJOAB 0004-637X 10.1086/309560
    • A. Burkert, Astrophys. J. 447, L25 (1995); ASJOAB 0004-637X 10.1086/309560
    • (1995) Astrophys. J. , vol.447 , pp. 25
    • Burkert, A.1
  • 73
    • 57149146239 scopus 로고    scopus 로고
    • ASJOAB 0004-637X 10.1086/590179
    • G. Battaglia, Astrophys. J. 681, L13 (2008); ASJOAB 0004-637X 10.1086/590179
    • (2008) Astrophys. J. , vol.681 , pp. 13
    • Battaglia, G.1
  • 74
    • 80052774196 scopus 로고    scopus 로고
    • S.H. Oh, arXiv:1011.0899
    • S.H. Oh, arXiv:1011.0899.
  • 77
    • 0000229991 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.84.4525
    • M. Kamionkowski and A.R. Liddle, Phys. Rev. Lett. 84, 4525 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.4525
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 4525
    • Kamionkowski, M.1    Liddle, A.R.2
  • 78
    • 49049128039 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(83)90688-3
    • M.R. Baldeschi, G.B. Gelmini, and R. Ruffini, Phys. Lett. 122B, 221 (1983). PYLBAJ 0370-2693 10.1016/0370-2693(83)90688-3
    • (1983) Phys. Lett. , vol.122 , pp. 221
    • Baldeschi, M.R.1    Gelmini, G.B.2    Ruffini, R.3
  • 79
    • 0002577434 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.50.3650
    • S.J. Sin, Phys. Rev. D PRVDAQ 0556-2821 50, 3650 (1994). 10.1103/PhysRevD.50.3650
    • (1994) Phys. Rev. D , vol.50 , pp. 3650
    • Sin, S.J.1
  • 80
    • 0001226945 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.40.2524
    • R. Ferrell and M. Gleiser, Phys. Rev. D PRVDAQ 0556-2821 40, 2524 (1989). 10.1103/PhysRevD.40.2524
    • (1989) Phys. Rev. D , vol.40 , pp. 2524
    • Ferrell, R.1    Gleiser, M.2
  • 81
    • 1542421109 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.58.104004
    • J. Balakrishna, E. Seidel, and W.M. Suen, Phys. Rev. D PRVDAQ 0556-2821 58, 104004 (1998). 10.1103/PhysRevD.58.104004
    • (1998) Phys. Rev. D , vol.58 , pp. 104004
    • Balakrishna, J.1    Seidel, E.2    Suen, W.M.3
  • 82
    • 80052765374 scopus 로고    scopus 로고
    • F.E. Schunck, arXiv:astro-ph/9802258
    • F.E. Schunck, arXiv:astro-ph/9802258.
  • 84
    • 0034341481 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/17/1/102
    • F.S. Guzmán and T. Matos, Classical Quantum Gravity 17, L9 (2000). CQGRDG 0264-9381 10.1088/0264-9381/17/1/102
    • (2000) Classical Quantum Gravity , vol.17 , pp. 9
    • Guzmán, F.S.1    Matos, T.2
  • 85
    • 0034897960 scopus 로고    scopus 로고
    • Further analysis of a cosmological model with quintessence and scalar dark matter
    • DOI 10.1103/PhysRevD.63.063506
    • T. Matos and L.A. Ureña-López, Phys. Rev. D PRVDAQ 0556-2821 63, 063506 (2001). 10.1103/PhysRevD.63.063506 (Pubitemid 33795711)
    • (2001) Physical Review D , vol.63 , Issue.6 , pp. 063506
    • Matos, T.1    Urena-Lopez, L.A.2
  • 87
    • 0035893950 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.64.123528
    • A. Arbey, J. Lesgourgues, and P. Salati, Phys. Rev. D PRVDAQ 0556-2821 64, 123528 (2001). 10.1103/PhysRevD.64.123528
    • (2001) Phys. Rev. D , vol.64 , pp. 123528
    • Arbey, A.1    Lesgourgues, J.2    Salati, P.3
  • 88
    • 0141564617 scopus 로고    scopus 로고
    • Dark matter as a cosmic Bose-Einstein condensate and possible superfluid
    • DOI 10.1023/A:1015934027224
    • M.P. Silverman and R.L. Mallett, Gen. Relativ. Gravit. 34, 633 (2002). GRGVA8 0001-7701 10.1023/A:1015934027224 (Pubitemid 37133380)
    • (2002) General Relativity and Gravitation , vol.34 , Issue.5 , pp. 633-649
    • Silverman, M.P.1    Mallett, R.L.2
  • 89
    • 0034238083 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.85.1158
    • W. Hu, R. Barkana, and A. Gruzinov, Phys. Rev. Lett. 85, 1158 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.1158
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 1158
    • Hu, W.1    Barkana, R.2    Gruzinov, A.3
  • 90
    • 0000728692 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.53.2236
    • J. Lee and I. Koh, Phys. Rev. D PRVDAQ 0556-2821 53, 2236 (1996). 10.1103/PhysRevD.53.2236
    • (1996) Phys. Rev. D , vol.53 , pp. 2236
    • Lee, J.1    Koh, I.2
  • 91
    • 0040958580 scopus 로고    scopus 로고
    • ASJOAB 0004-637X 10.1086/312677
    • P.J.E. Peebles, Astrophys. J. 534, L127 (2000). ASJOAB 0004-637X 10.1086/312677
    • (2000) Astrophys. J. , vol.534 , pp. 127
    • Peebles, P.J.E.1
  • 92
    • 0001631874 scopus 로고    scopus 로고
    • NAREF9 1387-6473 10.1016/S1384-1076(00)00015-4
    • J. Goodman, New Astron. Rev. 5, 103 (2000). NAREF9 1387-6473 10.1016/S1384-1076(00)00015-4
    • (2000) New Astron. Rev. , vol.5 , pp. 103
    • Goodman, J.1
  • 93
    • 3843060108 scopus 로고    scopus 로고
    • Galactic halos of fluid dark matter
    • DOI 10.1103/PhysRevD.68.023511
    • A. Arbey, J. Lesgourgues, and P. Salati, Phys. Rev. D PRVDAQ 0556-2821 68, 023511 (2003). 10.1103/PhysRevD.68.023511 (Pubitemid 44641967)
    • (2003) Physical Review D , vol.68 , Issue.2 , pp. 023511
    • Arbey, A.1    Lesgourgues, J.2    Salati, P.3
  • 99
    • 70349878579 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.80.063520
    • T. Fukuyama and M. Morikawa, Phys. Rev. D PRVDAQ 1550-7998 80, 063520 (2009). 10.1103/PhysRevD.80.063520
    • (2009) Phys. Rev. D , vol.80 , pp. 063520
    • Fukuyama, T.1    Morikawa, M.2
  • 100
    • 73849123537 scopus 로고    scopus 로고
    • PYLBAJ 0370-2693 10.1016/j.physletb.2009.10.005
    • J.W. Lee, Phys. Lett. B 681, 118 (2009). PYLBAJ 0370-2693 10.1016/j.physletb.2009.10.005
    • (2009) Phys. Lett. B , vol.681 , pp. 118
    • Lee, J.W.1
  • 101
    • 73849099988 scopus 로고    scopus 로고
    • 1475-7516 10.1088/1475-7516/2010/01/007
    • J.W. Lee and S. Lim, J. Cosmol. Astropart. Phys. 1475-7516 01 (2010) 007. 10.1088/1475-7516/2010/01/007
    • J. Cosmol. Astropart. Phys. , vol.2010 , Issue.1 , pp. 007
    • Lee, J.W.1    Lim, S.2
  • 102
    • 78751704689 scopus 로고    scopus 로고
    • PYLBAJ 0370-2693 10.1016/j.physletb.2010.12.064
    • F. Briscese, Phys. Lett. B 696, 315 (2011). PYLBAJ 0370-2693 10.1016/j.physletb.2010.12.064
    • (2011) Phys. Lett. B , vol.696 , pp. 315
    • Briscese, F.1
  • 103
    • 80052775588 scopus 로고    scopus 로고
    • A. Suárez and T. Matos, arXiv:1101.4039
    • A. Suárez and T. Matos, arXiv:1101.4039.
  • 104
    • 80052691587 scopus 로고    scopus 로고
    • P.H. Chavanis, arXiv:1103.2698
    • P.H. Chavanis, arXiv:1103.2698.
  • 105
    • 80052778758 scopus 로고    scopus 로고
    • following Article, PRVDAQ 1550-7998
    • P.H. Chavanis and L. Delfini, following Article, Phys. Rev. D PRVDAQ 1550-7998 84, 043532 (2011).
    • (2011) Phys. Rev. D , vol.84 , pp. 043532
    • Chavanis, P.H.1    Delfini, L.2
  • 106
    • 80052759826 scopus 로고    scopus 로고
    • note
    • / 3 on the number density of the particles. This implies that Bose-Einstein condensation occurs if the mass of the particles satisfies the condition m < 1.87 eV / c 2.
  • 107
    • 0002232733 scopus 로고
    • APNYA6 0003-4916 10.1016/0003-4916(58)90037-X
    • E.P. Gross, Ann. Phys. (N.Y.) 4, 57 (1958); APNYA6 0003-4916 10.1016/0003-4916(58)90037-X
    • (1958) Ann. Phys. (N.Y.) , vol.4 , pp. 57
    • Gross, E.P.1
  • 108
    • 51249193203 scopus 로고
    • NUCIAD 0029-6341 10.1007/BF02731494
    • E.P. Gross Nuovo Cimento 20, 454 (1961); NUCIAD 0029-6341 10.1007/BF02731494
    • (1961) Nuovo Cimento , vol.20 , pp. 454
    • Gross, E.P.1
  • 109
    • 0000394530 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1703944
    • E.P. Gross J. Math. Phys. (N.Y.) 4, 195 (1963). JMAPAQ 0022-2488 10.1063/1.1703944
    • (1963) J. Math. Phys. (N.Y.) , vol.4 , pp. 195
    • Gross, E.P.1
  • 112
    • 34250913931 scopus 로고
    • ZEPYAA 0044-3328 10.1007/BF01400372
    • E. Madelung, Z. Phys. 40, 322 (1927). ZEPYAA 0044-3328 10.1007/BF01400372
    • (1927) Z. Phys. , vol.40 , pp. 322
    • Madelung, E.1
  • 113
    • 80052781409 scopus 로고    scopus 로고
    • We note that for a BEC at T=0 the pressure arising in the hydrodynamic equation has a meaning different from the pressure of a normal fluid at finite temperature. It arises directly from the short-range interactions between particles encapsulated in the effective potential h(ρ) and is not due to thermal motion (since T=0). As a result, the pressure p can be negative! This is the case, in particular, for a BEC described by the equation of state when the scattering length a is negative.
    • We note that for a BEC at T = 0 the pressure arising in the hydrodynamic equation has a meaning different from the pressure of a normal fluid at finite temperature. It arises directly from the short-range interactions between particles encapsulated in the effective potential h (ρ) and is not due to thermal motion (since T = 0). As a result, the pressure p can be negative! This is the case, in particular, for a BEC described by the equation of state when the scattering length a is negative.
  • 114
  • 115
    • 35948974968 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.85.166
    • D. Bohm, Phys. Rev. 85, 166 (1952). PHRVAO 0031-899X 10.1103/PhysRev.85. 166
    • (1952) Phys. Rev. , vol.85 , pp. 166
    • Bohm, D.1
  • 116
    • 0000561787 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.39.4207
    • M. Membrado, A.F. Pacheco, and J. Sanudo, Phys. Rev. A PLRAAN 1050-2947 39, 4207 (1989). 10.1103/PhysRevA.39.4207
    • (1989) Phys. Rev. A , vol.39 , pp. 4207
    • Membrado, M.1    Pacheco, A.F.2    Sanudo, J.3
  • 117
    • 80052710712 scopus 로고    scopus 로고
    • For boson stars without self-interaction, the Hartree (mean-field) approximation, leading to the Schrödinger-Poisson system, is exact for N→+∞ (see in the relativistic case). For self-coupled boson stars with fixed a>0, according to Eq. , the TF approximation becomes exact for N→+∞. If we want to take into account the quantum potential, we have to consider a nontrivial limit in which N→+∞ with aN2 fixed (this differs from the scaling N→+∞ with aN fixed considered by Lieb et al. in the case where the gravitational interaction is replaced by an external trapping potential). The Hartree (mean-field) approximation, leading to the Gross-Pitaevskii-Poisson system, becomes exact in that limit.
    • For boson stars without self-interaction, the Hartree (mean-field) approximation, leading to the Schrödinger-Poisson system, is exact for N → + ∞ (see in the relativistic case). For self-coupled boson stars with fixed a > 0, according to Eq., the TF approximation becomes exact for N → + ∞. If we want to take into account the quantum potential, we have to consider a nontrivial limit in which N → + ∞ with a N 2 fixed (this differs from the scaling N → + ∞ with a N fixed considered by Lieb et al. in the case where the gravitational interaction is replaced by an external trapping potential). The Hartree (mean-field) approximation, leading to the Gross-Pitaevskii-Poisson system, becomes exact in that limit.
  • 118
    • 80052706797 scopus 로고    scopus 로고
    • i obeying the mean-field Schrödinger equation without nonlinearity (except the one due to the interaction).
    • i obeying the mean-field Schrödinger equation without nonlinearity (except the one due to the interaction).
  • 119
    • 42749104980 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.69.066126
    • P.H. Chavanis, Phys. Rev. E PLEEE8 1539-3755 69, 066126 (2004). 10.1103/PhysRevE.69.066126
    • (2004) Phys. Rev. e , vol.69 , pp. 066126
    • Chavanis, P.H.1
  • 121
    • 36849136337 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1703687
    • M. Girardeau, J. Math. Phys. (N.Y.) 1, 516 (1960). JMAPAQ 0022-2488 10.1063/1.1703687
    • (1960) J. Math. Phys. (N.Y.) , vol.1 , pp. 516
    • Girardeau, M.1
  • 123
    • 0038175509 scopus 로고    scopus 로고
    • FNDPA4 0015-9018 10.1023/A:1023776921610
    • J. Katz, Found. Phys. 33, 223 (2003). FNDPA4 0015-9018 10.1023/A:1023776921610
    • (2003) Found. Phys. , vol.33 , pp. 223
    • Katz, J.1
  • 125
    • 25044479199 scopus 로고
    • ASJOAB 0004-637X 10.1086/144317
    • P. Ledoux and C.L. Pekeris, Astrophys. J. 94, 124 (1941). ASJOAB 0004-637X 10.1086/144317
    • (1941) Astrophys. J. , vol.94 , pp. 124
    • Ledoux, P.1    Pekeris, C.L.2
  • 126
    • 34447626855 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.76.023004
    • P.H. Chavanis, Phys. Rev. D PRVDAQ 1550-7998 76, 023004 (2007). 10.1103/PhysRevD.76.023004
    • (2007) Phys. Rev. D , vol.76 , pp. 023004
    • Chavanis, P.H.1
  • 127
    • 0001120322 scopus 로고
    • PHMAA4 0031-8086
    • E.C. Stoner, Philos. Mag. PHMAA4 0031-8086 9, 944 (1930).
    • (1930) Philos. Mag. , vol.9 , pp. 944
    • Stoner, E.C.1
  • 128
    • 0012332991 scopus 로고
    • PHMAA4 0031-8086
    • E.C. Stoner, Philos. Mag. PHMAA4 0031-8086 7, 63 (1929).
    • (1929) Philos. Mag. , vol.7 , pp. 63
    • Stoner, E.C.1
  • 129
    • 0000834388 scopus 로고
    • ASJOAB 0004-637X 10.1086/151568In the absence of gravitational forces, BECs with a<0 are always unstable.
    • M. Nauenberg, Astrophys. J. 175, 417 (1972). ASJOAB 0004-637X 10.1086/151568
    • (1972) Astrophys. J. , vol.175 , pp. 417
    • Nauenberg, M.1
  • 131
    • 70249122725 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.103.111301
    • P. Sikivie and Q. Yang, Phys. Rev. Lett. 103, 111301 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.111301
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 111301
    • Sikivie, P.1    Yang, Q.2
  • 133
    • 80052699268 scopus 로고    scopus 로고
    • M. Kiessling see also arXiv:astro-ph/9910247
    • M. Kiessling see also arXiv:astro-ph/9910247.
  • 135
    • 0000011795 scopus 로고
    • ASJOAB 0004-637X 10.1086/161130
    • M. Milgrom, Astrophys. J. 270, 365 (1983). ASJOAB 0004-637X 10.1086/161130
    • (1983) Astrophys. J. , vol.270 , pp. 365
    • Milgrom, M.1
  • 136
    • 80052768221 scopus 로고    scopus 로고
    • P.H. Chavanis and T. Harko, arXiv:1108.3986
    • P.H. Chavanis and T. Harko, arXiv:1108.3986.
  • 137
    • 40349089688 scopus 로고    scopus 로고
    • FNDPA4 0015-9018 10.1007/s10701-007-9199-4
    • C.G. Böhmer and T. Harko, Found. Phys. 38, 216 (2008). FNDPA4 0015-9018 10.1007/s10701-007-9199-4
    • (2008) Found. Phys. , vol.38 , pp. 216
    • Böhmer, C.G.1    Harko, T.2
  • 139
    • 25844499965 scopus 로고
    • PASPAU 0004-6280 10.1086/122440
    • W.S. Adams, Publ. Astron. Soc. Pac. 27, 236 (1915). PASPAU 0004-6280 10.1086/122440
    • (1915) Publ. Astron. Soc. Pac. , vol.27 , pp. 236
    • Adams, W.S.1
  • 141
    • 56449130063 scopus 로고
    • ZEPYAA 0044-3328 10.1007/BF02980631
    • W. Pauli, Z. Phys. 31, 765 (1925). ZEPYAA 0044-3328 10.1007/BF02980631
    • (1925) Z. Phys. , vol.31 , pp. 765
    • Pauli, W.1
  • 142
    • 0342693771 scopus 로고
    • PHMAA4 0031-8086
    • E.C. Stoner, Philos. Mag. PHMAA4 0031-8086 48, 719 (1924).
    • (1924) Philos. Mag. , vol.48 , pp. 719
    • Stoner, E.C.1
  • 145
    • 33846238566 scopus 로고
    • ZEPYAA 0044-3328 10.1007/BF01351576
    • E. Fermi Z. Phys. 48, 73 (1928). ZEPYAA 0044-3328 10.1007/BF01351576
    • (1928) Z. Phys. , vol.48 , pp. 73
    • Fermi, E.1
  • 146
    • 0011275570 scopus 로고
    • ZEPYAA 0044-3328 10.1007/BF01340146
    • W. Anderson, Z. Phys. 56, 851 (1929). ZEPYAA 0044-3328 10.1007/BF01340146
    • (1929) Z. Phys. , vol.56 , pp. 851
    • Anderson, W.1
  • 148
    • 33644867041 scopus 로고    scopus 로고
    • Giants of physics found white-dwarf mass limits [4]
    • DOI 10.1038/440148d, PII 440148
    • E. Blackman, Nature (London) 440, 148 (2006). NATUAS 0028-0836 10.1038/440148d (Pubitemid 43372076)
    • (2006) Nature , vol.440 , Issue.7081 , pp. 148
    • Blackman, E.1
  • 149
  • 151
  • 152
    • 0001648657 scopus 로고
    • PHRVAO 0031-899X
    • W. Baade and F. Zwicky, Phys. Rev. 45, 138 (1934). PHRVAO 0031-899X
    • (1934) Phys. Rev. , vol.45 , pp. 138
    • Baade, W.1    Zwicky, F.2
  • 153
    • 0008702193 scopus 로고
    • NATUAS 0028-0836 10.1038/141333b0
    • L.D. Landau, Nature (London) 141, 333 (1938). NATUAS 0028-0836 10.1038/141333b0
    • (1938) Nature (London) , vol.141 , pp. 333
    • Landau, L.D.1
  • 154
    • 0000921571 scopus 로고
    • PHLTAM 0031-9163 10.1016/0031-9163(64)90604-3
    • M.A. Markov, Phys. Lett. 10, 122 (1964). PHLTAM 0031-9163 10.1016/0031-9163(64)90604-3
    • (1964) Phys. Lett. , vol.10 , pp. 122
    • Markov, M.A.1
  • 156
    • 0242292924 scopus 로고    scopus 로고
    • NUPBBO 0550-3213 10.1016/S0550-3213(00)00455-7
    • N. Bilic and H. Nikolic, Nucl. Phys. NUPBBO 0550-3213 B590, 575 (2000). 10.1016/S0550-3213(00)00455-7
    • (2000) Nucl. Phys. , vol.590 , pp. 575
    • Bilic, N.1    Nikolic, H.2
  • 157
    • 4243365484 scopus 로고
    • ASJOAB 0004-637X 10.1086/165813
    • E.H. Lieb and H.T. Yau, Astrophys. J. 323, 140 (1987). ASJOAB 0004-637X 10.1086/165813
    • (1987) Astrophys. J. , vol.323 , pp. 140
    • Lieb, E.H.1    Yau, H.T.2
  • 158
    • 0347107495 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.61.043602
    • E.H. Lieb, R. Seiringer, and J. Yngvason, Phys. Rev. A 61, 043602 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.61.043602
    • (2000) Phys. Rev. A , vol.61 , pp. 043602
    • Lieb, E.H.1    Seiringer, R.2    Yngvason, J.3
  • 159
    • 0035882120 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.64.075316
    • G. Manfredi and F. Haas, Phys. Rev. B PRBMDO 0163-1829 64, 075316 (2001). 10.1103/PhysRevB.64.075316
    • (2001) Phys. Rev. B , vol.64 , pp. 075316
    • Manfredi, G.1    Haas, F.2
  • 160
    • 0034239402 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.62.2763
    • F. Haas, G. Manfredi, and M. Feix, Phys. Rev. E PLEEE8 1063-651X 62, 2763 (2000). 10.1103/PhysRevE.62.2763
    • (2000) Phys. Rev. e , vol.62 , pp. 2763
    • Haas, F.1    Manfredi, G.2    Feix, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.