SINGULARITY-FREE SPACE-TIME

被引:35
作者
CHINEA, FJ
FERNANDEZJAMBRINA, L
SENOVILLA, JMM
机构
[1] UNIV BARCELONA,DEPT FIS FONAMENTAL,E-08028 BARCELONA,SPAIN
[2] IEC,SOC CATALANA FIS,FIS MATEMAT LAB,BARCELONA,SPAIN
来源
PHYSICAL REVIEW D | 1992年 / 45卷 / 02期
关键词
D O I
10.1103/PhysRevD.45.481
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We show that the solution published in the paper by Senovilla [Phys. Rev. Lett. 64, 2219 (1990)] is geodesically complete and singularity-free. We also prove that the solution satisfies the stronger energy and causality conditions, such as global hyperbolicity, the strong energy condition, causal symmetry, and causal stability. A detailed discussion about which assumptions in the singularity theorems are not satisfied is performed, and we show explicitly that the solution is in accordance with those theorems. A brief discussion of the results is given.
引用
收藏
页码:481 / 486
页数:6
相关论文
共 11 条
[1]  
[Anonymous], 1998, ORDINARY DIFFERENTIA
[2]  
BEEM J, 1981, GLOBAL LORENTZIAN GE
[3]  
Ellis G. F. R., 1973, LARGE SCALE STRUCTUR
[4]   A NEW INHOMOGENEOUS COSMOLOGICAL PERFECT FLUID SOLUTION WITH P=RHO/3 [J].
FEINSTEIN, A ;
SENOVILLA, JMM .
CLASSICAL AND QUANTUM GRAVITY, 1989, 6 (06) :L89-L91
[5]   DOMAIN OF DEPENDENCE [J].
GEROCH, R .
JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (02) :437-&
[6]   SINGULARITIES OF GRAVITATIONAL COLLAPSE AND COSMOLOGY [J].
HAWKING, SW ;
PENROSE, R .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1970, 314 (1519) :529-&
[7]  
Kramer D., 1980, EXACT SOLUTIONS EINS
[8]   GRAVITATIONAL COLLAPSE AND SPACE-TIME SINGULARITIES [J].
PENROSE, R .
PHYSICAL REVIEW LETTERS, 1965, 14 (03) :57-+
[9]  
RUIZ E, IN PRESS PHYS REV D
[10]   NEW CLASS OF INHOMOGENEOUS COSMOLOGICAL PERFECT-FLUID SOLUTIONS WITHOUT BIG-BANG SINGULARITY [J].
SENOVILLA, JMM .
PHYSICAL REVIEW LETTERS, 1990, 64 (19) :2219-2221