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
收藏
页数:17
相关论文
共 29 条
[1]   Observation of Gravitational Waves from a Binary Black Hole Merger [J].
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. .
PHYSICAL REVIEW LETTERS, 2016, 116 (06)
[2]   ON ASYMPTOTICALLY FLAT SPACE-TIMES WITH G(2)-INVARIANT CAUCHY SURFACES [J].
BERGER, BK ;
CHRUSCIEL, PT ;
MONCRIEF, V .
ANNALS OF PHYSICS, 1995, 237 (02) :322-354
[3]   EVOLUTION OF SZEKERESS COSMOLOGICAL MODELS [J].
BONNOR, WB ;
TOMIMURA, N .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1976, 175 (01) :85-93
[4]   Geodesics dynamics in the Linet-Tian spacetime with Λ > 0 [J].
Brito, Irene ;
Da Silva, M. F. A. ;
Mena, Filipe C. ;
Santos, N. O. .
CLASSICAL AND QUANTUM GRAVITY, 2015, 32 (18)
[5]   On the definition of cylindrical symmetry [J].
Carot, J ;
Senovilla, JMM ;
Vera, R .
CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (09) :3025-3034
[6]   Nonlinear evolution of cylindrical gravitational waves: Numerical method and physical aspects [J].
Celestino, Juliana ;
de Oliveira, H. P. ;
Rodrigues, E. L. .
PHYSICAL REVIEW D, 2016, 93 (10)
[7]   Shearfree cylindrical gravitational collapse [J].
Di Prisco, A. ;
Herrera, L. ;
MacCallum, M. A. H. ;
Santos, N. O. .
PHYSICAL REVIEW D, 2009, 80 (06)
[8]   CONTRIBUTIONS TO THE RELATIVISTIC-MECHANICS OF CONTINUOUS MEDIA [J].
EHLERS, 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 [J].
Einstein, A ;
Rosen, N .
JOURNAL OF THE FRANKLIN INSTITUTE, 1937, 223 :0043-0054