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 $\rho$ 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.

12 latex pages, No figure, RevTex style

References in corpus (26)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Cosmological Constant and Dark Energy
• Cosmological Constant - the Weight of the Vacuum
• An alternative to quintessence
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Unification of Dark Matter and Dark Energy: the Inhomogeneous Chaplygin Gas
• Role of Modified Chaplygin Gas in Accelerated Universe
• WMAP and the Generalized Chaplygin Gas
• Generalized Chaplygin gas and CMBR constraints
• WMAP Constraints on the Generalized Chaplygin Gas Model
• Constraints on the generalized Chaplygin gas from supernovae observations
• Generalized Vaidya Solutions
• Cosmological Effects of a Class of Fluid Dark Energy Models
• Cosmology with a Variable Chaplygin Gas
• Generalized Chaplygin Gas Model: Dark Energy - Dark Matter Unification and CMBR Constraints
• Exact solutions for null fluid collapse
• Constraints on Chaplygin quartessence from the CLASS gravitational lens statistics and supernova data
• Isotropic cosmological singularities 1: Polytropic perfect fluid spacetimes
• Gamma-ray bursts as dark energy-matter probes in the context of the generalized Chaplygin gas model
• Quasi-Spherical Gravitational Collapse in Any Dimension
• Black holes with short hair
• Non-adiabatic collapse of a quasi-spherical radiating star
• Variable Chaplygin Gas: Constraints from CMBR and SNe Ia
• Strong curvature singularities in quasispherical asymptotically de Sitter dust collapse
• A study of higher dimensional inhomogeneous cosmological model

Cited by in corpus (8)

• Gravitational Collapse in Generalized Vaidya Space-Time for Lovelock Gravity Theory
• Gravitational Collapse In Husain Space-time For Brans-Dicke Gravity Theory with Power-law Potential
• Surrounded Vaidya Solution by Cosmological Fields
• Gravitational Dust Collapse in $f(R)$ Gravity
• Gravitational Collapse In Vaidya Space-time For Galileon Gravity Theory
• Static and Radiating Solutions of Lovelock Gravity in the Presence of a Perfect Fluid
• Collapse and bounce of null fluids
• Spherical Symmetric Gravitational Collapse in Chern-Simon Modified Gravity