메뉴 건너뛰기




Volumn 75, Issue 4, 2007, Pages

Light bending as a probe of the nature of dark energy

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33846869525     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.75.043003     Document Type: Article
Times cited : (44)

References (34)
  • 2
    • 0037084870 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.65.044023
    • C. Deffayet, G.R. Dvali, and G. Gabadadze, Phys. Rev. D 65, 044023 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.044023
    • (2002) Phys. Rev. D , vol.65 , pp. 044023
    • Deffayet, C.1    Dvali, G.R.2    Gabadadze, G.3
  • 3
    • 29744466683 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.72.124007
    • G. Gabadadze and A. Gruzinov, Phys. Rev. D 72, 124007 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.124007
    • (2005) Phys. Rev. D , vol.72 , pp. 124007
    • Gabadadze, G.1    Gruzinov, A.2
  • 4
    • 29744452142 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.72.063501
    • A. Upadhye, M. Ishak, and P.J. Steinhardt, Phys. Rev. D 72, 063501 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.063501
    • (2005) Phys. Rev. D , vol.72 , pp. 063501
    • Upadhye, A.1    Ishak, M.2    Steinhardt, P.J.3
  • 6
    • 33846875380 scopus 로고    scopus 로고
    • Laurea thesis, University of Bologna
    • M. Galaverni, Laurea thesis, University of Bologna, 2005 (unpublished).
    • (2005)
    • Galaverni, M.1
  • 8
    • 33846881741 scopus 로고    scopus 로고
    • We choose to present our results in terms of the distance of closest approach r0, as in. Another convention is to write the results in terms of the impact parameter b, which has the advantage of being an invariant of the light ray with respect to r0. For the Schwarzschild metric the relation between these two quantities is: r0=2b3cos [13arccos (-33GMb)] which is given as a root of cubic polynomial. For GM b, r0=b(1+O(GM/b)) and therefore can be identified at leading order. The differences of the Einstein angle expressed in form r0 or b are therefore in the next-to-leading order terms, i.e. O(G2M2/r02) or O(G2M2/b2) (see fourth reference of);
    • We choose to present our results in terms of the distance of closest approach r0, as in. Another convention is to write the results in terms of the impact parameter b, which has the advantage of being an invariant of the light ray with respect to r0. For the Schwarzschild metric the relation between these two quantities is: r0=2b3cos [13arccos (-33GMb)] which is given as a root of cubic polynomial. For GM b, r0=b(1+O(GM/b)) and therefore can be identified at leading order. The differences of the Einstein angle expressed in form r0 or b are therefore in the next-to-leading order terms, i.e. O(G2M2/r02) or O(G2M2/b2) (see fourth reference of);
  • 9
    • 33846892912 scopus 로고    scopus 로고
    • For SdS the impact parameter b is not directly J/E (J and E being the angular momentum and the energy, respectively). The relation between r0 and J/E (the latter being the invariant of the light ray) for SdS is: r0=2J3E2+ΛJ2cos [13arccos (-33E2+ΛJ2GMJ)]. Again r0 J/E in the SdS case at leading order for GME/J 1, ΛJ2/E2 1.
    • For SdS the impact parameter b is not directly J/E (J and E being the angular momentum and the energy, respectively). The relation between r0 and J/E (the latter being the invariant of the light ray) for SdS is: r0=2J3E2+ΛJ2cos [13arccos (-33E2+ΛJ2GMJ)]. Again r0 J/E in the SdS case at leading order for GME/J 1, ΛJ2/E2 1.
  • 10
    • 0000275305 scopus 로고
    • PYLAAG 0375-9601 10.1016/0375-9601(83)90756-9
    • J.N. Islam, Phys. Lett. A 97, 239 (1983). PYLAAG 0375-9601 10.1016/0375-9601(83)90756-9
    • (1983) Phys. Lett. a , vol.97 , pp. 239
    • Islam, J.N.1
  • 11
    • 33846889257 scopus 로고    scopus 로고
    • Note that the light bending in SdS written in terms of J/E (rather than r0) contains Λ because of the relation between r0 and J/E in.
    • Note that the light bending in SdS written in terms of J/E (rather than r0) contains Λ because of the relation between r0 and J/E in.
  • 12
    • 0038070230 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.67.064009
    • T. Damour, I.I. Kogan, and A. Papazoglou, Phys. Rev. D 67, 064009 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.064009
    • (2003) Phys. Rev. D , vol.67 , pp. 064009
    • Damour, T.1    Kogan, I.I.2    Papazoglou, A.3
  • 13
    • 33749522333 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(72)90147-5
    • A.I. Vainshtein, Phys. Lett. B 39, 393 (1972). PYLBAJ 0370-2693 10.1016/0370-2693(72)90147-5
    • (1972) Phys. Lett. B , vol.39 , pp. 393
    • Vainshtein, A.I.1
  • 14
    • 0000580791 scopus 로고
    • ASJOAB 0004-637X 10.1086/167623
    • P.D. Mannheim and D. Kazanas, Astrophys. J. 342, 635 (1989). ASJOAB 0004-637X 10.1086/167623
    • (1989) Astrophys. J. , vol.342 , pp. 635
    • Mannheim, P.D.1    Kazanas, D.2
  • 16
    • 0038408681 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.67.064002
    • A. Lue and G. Starkman, Phys. Rev. D 67, 064002 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.064002
    • (2003) Phys. Rev. D , vol.67 , pp. 064002
    • Lue, A.1    Starkman, G.2
  • 17
    • 0034644072 scopus 로고    scopus 로고
    • PYLBAJ 0370-2693 10.1016/S0370-2693(00)00669-9
    • G.R. Dvali, G. Gabadadze, and M. Porrati, Phys. Lett. B 485, 208 (2000). PYLBAJ 0370-2693 10.1016/S0370-2693(00)00669-9
    • (2000) Phys. Lett. B , vol.485 , pp. 208
    • Dvali, G.R.1    Gabadadze, G.2    Porrati, M.3
  • 18
    • 29244458332 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/j.physrep.2005.10.007
    • A. Lue, Phys. Rep. 423, 1 (2006). PRPLCM 0370-1573 10.1016/j.physrep. 2005.10.007
    • (2006) Phys. Rep. , vol.423 , pp. 1
    • Lue, A.1
  • 19
    • 85039021705 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.58.024011
    • A. Edery and M.B. Paranjape, Phys. Rev. D 58, 024011 (1998); PRVDAQ 0556-2821 10.1103/PhysRevD.58.024011
    • (1998) Phys. Rev. D , vol.58 , pp. 024011
    • Edery, A.1    Paranjape, M.B.2
  • 20
    • 2142650606 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/21/7/011
    • S. Pireaux, Classical Quantum Gravity CQGRDG 0264-9381 21, 1897 (2004). 10.1088/0264-9381/21/7/011
    • (2004) Classical Quantum Gravity , vol.21 , pp. 1897
    • Pireaux, S.1
  • 21
    • 0001646350 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.22.2947
    • R. Epstein and I.I. Shapiro, Phys. Rev. D 22, 2947 (1980); PRVDAQ 0556-2821 10.1103/PhysRevD.22.2947
    • (1980) Phys. Rev. D , vol.22 , pp. 2947
    • Epstein, R.1    Shapiro, I.I.2
  • 22
    • 0001915577 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.22.2950
    • E. Fischbach and B.S. Freeman, Phys. Rev. D 22, 2950 (1980); PRVDAQ 0556-2821 10.1103/PhysRevD.22.2950
    • (1980) Phys. Rev. D , vol.22 , pp. 2950
    • Fischbach, E.1    Freeman, B.S.2
  • 24
    • 0043231503 scopus 로고    scopus 로고
    • AJPIAS 0002-9505 10.1119/1.1570416
    • J. Bodenner and C.M. Will, Am. J. Phys. 71, 770 (2003). AJPIAS 0002-9505 10.1119/1.1570416
    • (2003) Am. J. Phys. , vol.71 , pp. 770
    • Bodenner, J.1    Will, C.M.2
  • 25
    • 33846856405 scopus 로고    scopus 로고
    • Note that this is not true for a massive particle. Λ induces a force on a test mass, for example, producing an additional shift in the perihelion precession.
    • Note that this is not true for a massive particle. Λ induces a force on a test mass, for example, producing an additional shift in the perihelion precession.
  • 26
    • 3843061177 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.68.024012
    • G. Dvali, A. Gruzinov, and M. Zaldarriaga, Phys. Rev. D 68, 024012 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.024012
    • (2003) Phys. Rev. D , vol.68 , pp. 024012
    • Dvali, G.1    Gruzinov, A.2    Zaldarriaga, M.3
  • 27
    • 85038977371 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.68.103501
    • D. Carturan and F. Finelli, Phys. Rev. D 68, 103501 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.68.103501
    • (2003) Phys. Rev. D , vol.68 , pp. 103501
    • Carturan, D.1    Finelli, F.2
  • 31
    • 4243807408 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.6.3368
    • D. Boulware and S. Deser, Phys. Rev. D 6, 3368 (1972). PRVDAQ 0556-2821 10.1103/PhysRevD.6.3368
    • (1972) Phys. Rev. D , vol.6 , pp. 3368
    • Boulware, D.1    Deser, S.2
  • 32
    • 33244491728 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.73.044016
    • D. Gorbunov, K. Koyama, and S. Sibiryakov, Phys. Rev. D 73, 044016 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.044016
    • (2006) Phys. Rev. D , vol.73 , pp. 044016
    • Gorbunov, D.1    Koyama, K.2    Sibiryakov, S.3
  • 33
    • 0004057466 scopus 로고
    • University of Chicago, Chicago
    • R. Wald, General Relativity (University of Chicago, Chicago, 1984).
    • (1984) General Relativity
    • Wald, R.1
  • 34
    • 33846891031 scopus 로고    scopus 로고
    • astro-ph/9805292.
    • E.L. Wright, astro-ph/9805292.
    • Wright, E.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.