Cylindrically symmetric inhomogeneous dust collapse with a zero expansion component

被引:4
作者
Brito, Irene [1 ]
da Silva, M. F. A. [2 ]
Mena, Filipe C. [1 ,2 ]
Santos, N. O. [2 ,3 ,4 ]
机构
[1] Univ Minho, Ctr Matemat, P-4710057 Braga, Portugal
[2] Univ Estado Rio de Janeiro, Inst Fis, Dept Fis Teor, Rua Sao Francisco Xavier 524, BR-20550900 Rio De Janeiro, Brazil
[3] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England
[4] UPMC Univ Paris 06, Sorbonne Univ, LERMA, CNRS,Observ Paris Meudon,UMRS8112, 5 Pl Jules Janssen, F-92195 Meudon, France
关键词
exact solutions; spacetime matching; gravitational collapse; gravitational radiation; black hole formation;
D O I
10.1088/1361-6382/aa8aa8
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate a class of cylindrically symmetric inhomogeneous.-dust spacetimes which have a regular axis and some zero expansion component. For Lambda not equal 0, we obtain new exact solutions to the Einstein equations and show that they are unique, within that class. For Lambda = 0, we recover the SenovillaVera metric and show that it can be locally matched to an Einstein-Rosen type of exterior. Finally, we explore some consequences of the matching, such as trapped surface formation and gravitational radiation in the exterior.
引用
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页数:17
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共 29 条
  • [1] Observation of Gravitational Waves from a Binary Black Hole Merger
    Abbott, B. P.
    Abbott, R.
    Abbott, T. D.
    Abernathy, M. R.
    Acernese, F.
    Ackley, K.
    Adams, C.
    Adams, T.
    Addesso, P.
    Adhikari, R. X.
    Adya, V. B.
    Affeldt, C.
    Agathos, M.
    Agatsuma, K.
    Aggarwal, N.
    Aguiar, O. D.
    Aiello, L.
    Ain, A.
    Ajith, P.
    Allen, B.
    Allocca, A.
    Altin, P. A.
    Anderson, S. B.
    Anderson, W. G.
    Arai, K.
    Arain, M. A.
    Araya, M. C.
    Arceneaux, C. C.
    Areeda, J. S.
    Arnaud, N.
    Arun, K. G.
    Ascenzi, S.
    Ashton, G.
    Ast, M.
    Aston, S. M.
    Astone, P.
    Aufmuth, P.
    Aulbert, C.
    Babak, S.
    Bacon, P.
    Bader, M. K. M.
    Baker, P. T.
    Baldaccini, F.
    Ballardin, G.
    Ballmer, S. W.
    Barayoga, J. C.
    Barclay, S. E.
    Barish, B. C.
    Barker, D.
    Barone, F.
    [J]. PHYSICAL REVIEW LETTERS, 2016, 116 (06)
  • [2] ON ASYMPTOTICALLY FLAT SPACE-TIMES WITH G(2)-INVARIANT CAUCHY SURFACES
    BERGER, BK
    CHRUSCIEL, PT
    MONCRIEF, V
    [J]. ANNALS OF PHYSICS, 1995, 237 (02) : 322 - 354
  • [3] EVOLUTION OF SZEKERESS COSMOLOGICAL MODELS
    BONNOR, WB
    TOMIMURA, N
    [J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1976, 175 (01) : 85 - 93
  • [4] Geodesics dynamics in the Linet-Tian spacetime with Λ > 0
    Brito, Irene
    Da Silva, M. F. A.
    Mena, Filipe C.
    Santos, N. O.
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2015, 32 (18)
  • [5] On the definition of cylindrical symmetry
    Carot, J
    Senovilla, JMM
    Vera, R
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (09) : 3025 - 3034
  • [6] Nonlinear evolution of cylindrical gravitational waves: Numerical method and physical aspects
    Celestino, Juliana
    de Oliveira, H. P.
    Rodrigues, E. L.
    [J]. PHYSICAL REVIEW D, 2016, 93 (10)
  • [7] Shearfree cylindrical gravitational collapse
    Di Prisco, A.
    Herrera, L.
    MacCallum, M. A. H.
    Santos, N. O.
    [J]. PHYSICAL REVIEW D, 2009, 80 (06):
  • [8] CONTRIBUTIONS TO THE RELATIVISTIC-MECHANICS OF CONTINUOUS MEDIA
    EHLERS, J
    [J]. GENERAL RELATIVITY AND GRAVITATION, 1993, 25 (12) : 1225 - 1266
  • [9] EHLERS J, 1961, AKAD WISS LIT MAI MN, V0011, P00792
  • [10] On gravitational waves
    Einstein, A
    Rosen, N
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE, 1937, 223 : 0043 - 0054