THE STRUCTURE OF NAKED SINGULARITY IN SELF-SIMILAR GRAVITATIONAL COLLAPSE

被引:102
作者
JOSHI, PS [1 ]
DWIVEDI, IH [1 ]
机构
[1] AGRA UNIV,INST BASIC SCI,AGRA 280004,UTTAR PRADESH,INDIA
关键词
D O I
10.1007/BF02102631
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the structure and formation of naked singularities in self-similar gravitational collapse for an adiabatic perfect fluid. Conditions are obtained for the singularity to be either locally or globally naked and for the families of non-spacelike geodesics to terminate at the singularity in past. This is shown to be a strong curvature naked singularity in a powerful sense and an interesting relationship is pointed out between positivity of energy and occurrence of naked singularity.
引用
收藏
页码:333 / 342
页数:10
相关论文
共 15 条
[1]   SELF-SIMILAR GROWTH OF PRIMORDIAL BLACK-HOLES .2. GENERAL SOUND SPEED [J].
BICKNELL, GV ;
HENRIKSEN, RN .
ASTROPHYSICAL JOURNAL, 1978, 225 (01) :237-251
[2]   SPHERICALLY SYMMETRIC SIMILARITY SOLUTIONS OF EINSTEIN FIELD EQUATIONS FOR A PERFECT FLUID [J].
CAHILL, ME ;
TAUB, AH .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 21 (01) :1-&
[3]   VIOLATION OF COSMIC CENSORSHIP IN THE GRAVITATIONAL COLLAPSE OF A DUST CLOUD [J].
CHRISTODOULOU, D .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 93 (02) :171-195
[4]  
CLARKE CJS, 1986, J GEOM PHYS, V2, P127
[5]   ON THE NATURE OF NAKED SINGULARITIES IN VAIDYA SPACETIMES [J].
DWIVEDI, IH ;
JOSHI, PS .
CLASSICAL AND QUANTUM GRAVITY, 1989, 6 (11) :1599-1606
[6]   ON THE NATURE OF NAKED SINGULARITIES IN VAIDYA SPACETIMES .2. [J].
DWIVEDI, IH ;
JOSHI, PS .
CLASSICAL AND QUANTUM GRAVITY, 1991, 8 (07) :1339-1348
[7]   TIME FUNCTIONS IN NUMERICAL RELATIVITY - MARGINALLY BOUND DUST COLLAPSE [J].
EARDLEY, DM ;
SMARR, L .
PHYSICAL REVIEW D, 1979, 19 (08) :2239-2259
[8]  
Ellis G. F. R., 1973, LARGE SCALE STRUCTUR
[9]   THE FORMATION OF BLACK-HOLES IN NONSPHERICAL COLLAPSE AND COSMIC CENSORSHIP [J].
ISRAEL, W .
CANADIAN JOURNAL OF PHYSICS, 1986, 64 (02) :120-127
[10]  
Nemytskii V., 1960, QUALITATIVE THEORY D