Gravitational collapse in higher dimensional Husain space–time

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.