Gravitational Collapse in Higher Dimensional Husain Space-Time

Details Gravitational Collapse in Higher Dimensional Husain Space-Time Gravitational Collapse in Higher Dimensional Husain Space-Time

2007-09-28

arxiv.org/abs/0709.4538v1

Gen.Rel.Grav.40:749-763,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 latex pages, No figure, RevTex style

Scientific paper

10.1007/s10714-007-0525-0

We investigate exact solution in higher dimensional Husain model for a null fluid source with pressure $p$ and density $\rho$ are related by the following relations (i) $p=k\rho$, (ii) $p=k\rho-\frac{B(v)}{\rho^{\alpha}}$ (variable modified Chaplygin) and (iii) $p=k\rho^{\alpha}$ (polytropic). We have studied the nature of singularity in gravitational collapse for the above equations of state and also for different choices of the of the parameters $k$ and $B$ namely, (i) $k=0$, $B=$ constant (generalized Chaplygin), (ii) $B=$ constant (modified Chaplygin). It is found that the nature of singularity is independent of these choices of different equation of state except for variable Chaplygin model. Choices of various parameters are shown in tabular form. Finally, matching of Szekeres model with exterior Husain space-time is done.

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