메뉴 건너뛰기




Volumn 56, Issue 8, 1997, Pages 4878-4895

Null dust in canonical gravity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039052700     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.56.4878     Document Type: Article
Times cited : (72)

References (65)
  • 1
    • 0040952194 scopus 로고
    • Brief accounts of this work are K. V. Kuchař, in Directions in General Relativity I, edited by B. L. Hu, M. P. Ryan, and C. V. Vishveshwara (Cambridge University Press, Cambridge, England, 1993); and
    • J. D. Brown and K. V. Kuchař, Phys. Rev. D 51, 5600 (1995). Brief accounts of this work are K. V. Kuchař, in Directions in General Relativity I, edited by B. L. Hu, M. P. Ryan, and C. V. Vishveshwara (Cambridge University Press, Cambridge, England, 1993); and
    • (1995) Phys. Rev. D , vol.51 , pp. 5600
    • Brown, J.D.1    Kuchař, K.V.2
  • 2
    • 85038269446 scopus 로고    scopus 로고
    • Proceedings of the Cornelius Lanczos Centenary Conference, edited by J. D. Brown, M. T. Chu, D. C. Ellison, and R. J. Plemmons (SIAM, Philadelphia, 1994)
    • J. D. Brown, in Proceedings of the Cornelius Lanczos Centenary Conference, edited by J. D. Brown, M. T. Chu, D. C. Ellison, and R. J. Plemmons (SIAM, Philadelphia, 1994).
    • Brown, J.D.1
  • 3
    • 0040925299 scopus 로고
    • NATUAS(London)
    • P. C. Vaidya, Nature 171, 260 (1953). Here the metric is given in terms of a retarded time coordinate (called by Vaidya a Newtonian time). NATUAS(London)
    • (1953) Nature , vol.171 , pp. 260
    • Vaidya, P.C.1
  • 4
    • 0001601207 scopus 로고
    • Originally, Vaidya found the metric in the Schwarzschild-type coordinates in which it has a more complicated form; see P. C. Vaidya, Curr. Sci. 12, 183 (1943);
    • (1943) Curr. Sci. , vol.12 , pp. 183
    • Vaidya, P.C.1
  • 8
    • 0003533113 scopus 로고    scopus 로고
    • edited by S. Deser and K. W. Ford (Prentice Hall, Englewood Cliffs, 1965)
    • For a review, see F. A. E. Pirani, in Lectures on General Relativity, edited by S. Deser and K. W. Ford (Prentice Hall, Englewood Cliffs, 1965).
    • Lectures on General Relativity
    • Pirani, F.A.E.1
  • 13
    • 0001163587 scopus 로고
    • Pfaff's theorem is well described, for example, in Appendix A of B. Schutz, Phys. Rev. D 2, 2762 (1970).
    • (1970) Phys. Rev. D , vol.2 , pp. 2762
    • Schutz, B.1
  • 14
    • 84917955053 scopus 로고    scopus 로고
    • edited by S. Flügge and C. Truesdell (Springer, Berlin, 1959), Vol. 8]
    • J. Serrin, in Handbuch der Physik, edited by S. Flügge and C. Truesdell (Springer, Berlin, 1959), Vol. 8];
    • Handbuch der Physik
    • Serrin, J.1
  • 16
    • 0642293815 scopus 로고
    • Tam used Clebsch potentials to formulate an action principle for an ideal, charged fluid in the context of special relativity [K. Tam, Can. J. Phys. 44, 2403 (1966)].
    • (1966) Can. J. Phys. , vol.44 , pp. 2403
    • Tam, K.1
  • 17
    • 51249190341 scopus 로고
    • Action principles for perfect fluids in general relativity were developed independently by Tam and O'Hanlon [K. Tam and J. O'Hanlon, Nuovo Cimento B 62, 351 (1969)
    • (1969) Nuovo Cimento B , vol.62 , pp. 351
    • Tam, K.1    O'Hanlon, J.2
  • 18
    • 0001163587 scopus 로고
    • ] and by Schutz [B. F. Schutz, Phys. Rev. D 2, 2762 (1970)]. The actions discussed by Tam and O'Hanlon and by Schutz use a minimal set of velocity potentials, which precludes the interpretation of the appropriate potential fields as Lagrangian coordinates for the fluid.
    • (1970) Phys. Rev. D , vol.2 , pp. 2762
    • Schutz, B.F.1
  • 19
    • 33749562275 scopus 로고
    • The Hamiltonian form of Schutz's action was developed by Schutz [B. F. Schutz, 4, 3559 (1971)]
    • (1971) , vol.4 , pp. 3559
    • Schutz, B.F.1
  • 20
    • 0001421995 scopus 로고
    • and by Demaret and Moncrief [J. Demaret and V. Moncrief, 21, 2785 (1980)].
    • (1980) , vol.21 , pp. 2785
    • Demaret, J.1    Moncrief, V.2
  • 25
    • 21444442149 scopus 로고    scopus 로고
    • I. Kouletsis, 13, 3085 (1996).
    • (1996) , vol.13 , pp. 3085
    • Kouletsis, I.1
  • 36
    • 0642293813 scopus 로고
    • The form (A1) of the energy-momentum tensor to describe the geometrical optics limit of the neutrino field equations was justified by J. B. Griffiths, 4, 361 (1973), and references therein.
    • (1973) , vol.4 , pp. 361
    • Griffiths, J.B.1
  • 38
    • 85038268617 scopus 로고
    • 166, 1272 (1968);
    • (1968) , vol.166 , pp. 1272
  • 39
    • 0000463841 scopus 로고
    • GRGVA8
    • Interacting gravitational, electromagnetic, and charged scalar fields in the high-frequency limit are discussed by Y. Choquet-Bruhat and A. H. Taub, Gen. Relativ. Gravit. 8, 561 (1977). GRGVA8
    • (1977) Gen. Relativ. Gravit. , vol.8 , pp. 561
    • Choquet-Bruhat, Y.1    Taub, A.H.2
  • 40
    • 33750065906 scopus 로고
    • A precise characterization of the high-frequency limit in general relativity was given by C. A. Burnett, J. Math. Phys. (N.Y.) 30, 90 (1989). Burnett proved that there exists an effective energy-momentum tensor [which, in special cases, has the form (A1) appropriate for null dust] that describes high-frequency waves acting as a source of smooth background curvature. He did not need to assume hypersurface orthogonality of (Formula presented).
    • (1989) J. Math. Phys. (N.Y.) , vol.30 , pp. 90
    • Burnett, C.A.1
  • 41
    • 0011515008 scopus 로고
    • for a review, see A. H. Taub, in General Relativity and Gravitation, edited by A. Held (Plenum, New York, 1979). Whitham's technique averages over a rapidly changing phase directly in a Lagrangian. One thus averages a scalar density (the Hilbert Lagrangian) rather than tensor fields, as in the Brill-Hartle averaging used by Isaacson 22
    • M. A. H. MacCallum and A. H. Taub, Commun. Math. Phys. 30, 153 (1973); for a review, see A. H. Taub, in General Relativity and Gravitation, edited by A. Held (Plenum, New York, 1979). Whitham's technique averages over a rapidly changing phase directly in a Lagrangian. One thus averages a scalar density (the Hilbert Lagrangian) rather than tensor fields, as in the Brill-Hartle averaging used by Isaacson 22.
    • (1973) Commun. Math. Phys. , vol.30 , pp. 153
    • MacCallum, M.A.H.1    Taub, A.H.2
  • 43
    • 85038294635 scopus 로고    scopus 로고
    • A. Krasiński, “Physics in an Inhomogeneous Universe,” Copernicus Astronomical Center, Warszaw Report, 1993
    • A. Krasiński, “Physics in an Inhomogeneous Universe,” Copernicus Astronomical Center, Warszaw Report, 1993.
  • 48
    • 85038324324 scopus 로고
    • JPHAC5
    • Indeed, assuming that the scalar field satisfies the constraint (Formula presented), its energy-momentum tensor assumes the form (A1) after the rescaling (Formula presented). One can easily see that the condition (Formula presented) (which is always satisfied in the geometrical optics approximation) holds exactly for the combined gravitational and massless-scalar plane waves. See W. Z. Chao, J. Phys. A 15, 2429 (1982); and JPHAC5
    • (1982) J. Phys. A , vol.15 , pp. 2429
    • Chao, W.Z.1
  • 49
    • 0642355095 scopus 로고
    • M. Halilsoy, Lett. Nuovo Cimento 44, 544 (1985), who considered the collision of such waves.
    • (1985) Lett. Nuovo Cimento , vol.44 , pp. 544
    • Halilsoy, M.1
  • 52
    • 42149197166 scopus 로고
    • T. Damour, 12, 725 (1995).
    • (1995) , vol.12 , pp. 725
    • Damour, T.1
  • 53
    • 85038267341 scopus 로고    scopus 로고
    • These works are mostly related to colliding plane gravitational waves 26
    • These works are mostly related to colliding plane gravitational waves 26. Reference 26 also discusses the problem (widely explored in the years 1986–1991) that colliding plane waves accompanied by null dust do not have a unique evolution.
  • 54
    • 0011271352 scopus 로고
    • The problem was introduced by the work of S. Chandrasekhar and C. Xanthopolous, Proc. R. Soc. London A403, 189 (1986), and its discussion led to an understanding that the time evolution of null dust may imply a “transmutation of matter” (here into a stiff fluid) if one does not distinguish different types of null dust representing different types of matter fields.
    • (1986) Proc. R. Soc. London , vol.A403 , pp. 189
    • Chandrasekhar, S.1    Xanthopolous, C.2
  • 55
    • 0000464281 scopus 로고
    • For a recent work on the collision and interaction of cylindrically symmetric clouds of null dust, see P. S. Letelier and A. Wang, Phys. Rev. D 49, 5105 (1994).
    • (1994) Phys. Rev. D , vol.49 , pp. 5105
    • Letelier, P.S.1    Wang, A.2
  • 57
    • 0002283076 scopus 로고
    • A. Papapetrou [in A Random Walk in Relativity and Cosmology, edited by J. Krishna-Rao (Wiley Eastern, New Delhi, 1985)] were the first who noticed that the collapse of spherical shell of null dust may lead to a naked singularity
    • Y. Kuroda [Prog. Theor. Phys. 72, 63 (1984)], and A. Papapetrou [in A Random Walk in Relativity and Cosmology, edited by J. Krishna-Rao (Wiley Eastern, New Delhi, 1985)] were the first who noticed that the collapse of spherical shell of null dust may lead to a naked singularity.
    • (1984) Prog. Theor. Phys. , vol.72 , pp. 63
    • Kuroda, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.