On naked singularities in self-similar Tolman-Bondi spacetimes

1991 ◽  
Vol 158 (6-7) ◽  
pp. 279-281 ◽  
Author(s):  
JoséP.S. Lemos
Keyword(s):  
Naked Singularities ◽  
Self Similar

Naked singularities in self-similar gravitational collapse

1990 ◽  
Vol 41 (12) ◽  
pp. 3866-3868 ◽  
Author(s):  
Kayll Lake ◽  
T. Zannias
Keyword(s):  
Gravitational Collapse ◽  
Naked Singularities ◽  
Self Similar

scholarly journals NAKED SINGULARITIES IN THREE-DIMENSIONS

2003 ◽  
Vol 12 (05) ◽  
pp. 791-799
Author(s):  
G. OLIVEIRA-NETO
Keyword(s):  
Scalar Field ◽  
Analytical Solution ◽  
Cosmic Censorship ◽  
The Self ◽  
Three Dimensions ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Naked Singularities ◽  
Asymptotically Flat ◽  
Self Similar

We study an analytical solution to the Einstein's equations in (2+1)-dimensions, representing the self-similar collapse of a circularly symmetric, minimally coupled, massless, scalar field. Depending on the value of certain parameters, this solution represents the formation of naked singularities. Since our solution is asymptotically flat, these naked singularities may be relevant for the weak cosmic censorship conjecture in (2+1)-dimensions.

scholarly journals GRAVITATIONAL COLLAPSE OF PERFECT FLUID IN SELF-SIMILAR HIGHER DIMENSIONAL SPACE–TIMES

2003 ◽  
Vol 12 (05) ◽  
pp. 913-924 ◽  
Author(s):  
S. G. GHOSH ◽  
D. W. DESHKAR
Keyword(s):  
Perfect Fluid ◽  
Gravitational Collapse ◽  
Dimensional Space ◽  
Energy Condition ◽  
Cosmic Censorship ◽  
Naked Singularities ◽  
Four Dimensions ◽  
Higher Dimensional ◽  
Self Similar ◽  
Strong Curvature

We investigate the occurrence and nature of naked singularities in the gravitational collapse of an adiabatic perfect fluid in self-similar higher dimensional space–times. It is shown that strong curvature naked singularities could occur if the weak energy condition holds. Its implication for cosmic censorship conjecture is discussed. Known results of analogous studies in four dimensions can be recovered.

N-DIMENSIONAL GRAVITATIONAL COLLAPSE WITH DARK ENERGY

2008 ◽  
Vol 17 (08) ◽  
pp. 1295-1309
Author(s):  
R. S. GONÇALVES ◽  
JAIME F. VILLAS DA ROCHA
Keyword(s):  
Dark Energy ◽  
Radial Pressure ◽  
The Self ◽  
Energy Conditions ◽  
Anisotropic Fluid ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Self Similarity ◽  
Naked Singularities ◽  
Self Similar

We study the evolution of an N-dimensional anisotropic fluid with kinematic self-similarity of the second kind and find a class of solutions to the Einstein field equations by assuming an equation of state where the radial pressure of the fluid is proportional to its energy density (pr= ωρ) and that the fluid moves along timelike geodesics. As in the four-dimensional case, the self-similarity requires ω = -1. The energy conditions and geometrical and physical properties of the solutions are studied. We find that, depending on the self-similar parameter α, they may represent black holes or naked singularities. We also study the presence of dark energy in some models, and find that their existence gives rise to some constraints on the dimensions of the space–times.

scholarly journals GRAVITATIONAL COLLAPSE OF SELF-SIMILAR AND SHEAR-FREE FLUID WITH HEAT FLOW

2003 ◽  
Vol 12 (03) ◽  
pp. 347-368 ◽  
Author(s):  
R. CHAN ◽  
M. F. A. DA SILVA ◽  
JAIME F. VILLAS DA ROCHA
Keyword(s):  
Heat Flow ◽  
Gravitational Collapse ◽  
Energy Conditions ◽  
Free Fluid ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Spherical Shells ◽  
Naked Singularities ◽  
Self Similar

A class of solutions to Einstein field equations is studied, which represents gravitational collapse of thick spherical shells made of self-similar and shear-free fluid with heat flow. It is shown that such shells satisfy all the energy conditions, and the corresponding collapse always forms naked singularities.

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