English

Gravitational Collapse in Higher Dimensional Husain Space-Time

General Relativity and Quantum Cosmology 2008-11-26 v1

Abstract

We investigate exact solution in higher dimensional Husain model for a null fluid source with pressure pp and density ρ\rho are related by the following relations (i) p=kρp=k\rho, (ii) p=kρB(v)ραp=k\rho-\frac{B(v)}{\rho^{\alpha}} (variable modified Chaplygin) and (iii) p=kραp=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 kk and BB namely, (i) k=0k=0, B=B= constant (generalized Chaplygin), (ii) B=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.

Keywords

Cite

@article{arxiv.0709.4538,
  title  = {Gravitational Collapse in Higher Dimensional Husain Space-Time},
  author = {Ujjal Debnath and Narayan Chandra Chakraborty and Subenoy Chakraborty},
  journal= {arXiv preprint arXiv:0709.4538},
  year   = {2008}
}

Comments

12 latex pages, No figure, RevTex style

R2 v1 2026-06-21T09:23:19.761Z