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- Title
Gravitational collapse in higher dimensional Husain space–time.
- Authors
Ujjal Debnath; Narayan Chakraborty; Subenoy Chakraborty
- Abstract
Abstract We investigate exact solution in higher dimensional Husain model for a null fluid source with pressure p and density ρ are related by the following relations (i) p = kρ, (ii) $$p = k\rho - \frac{B(v)}{\rho^{\alpha}}$$ (variable modified Chaplygin) and (iii) p = kρα (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.
- Subjects
GRAVITATIONAL collapse; EQUATIONS; PHYSICAL &; theoretical chemistry; PROPERTIES of matter
- Publication
General Relativity & Gravitation, 2008, Vol 40, Issue 4, p749
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-007-0525-0