Spherical gravitational collapse inNdimensions

2006/08/31 by Rituparno Goswami, Pankaj S. Joshi, Pankaj S Joshi · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.1103/physrevd.76.084026

published as Phys.Rev.D76:084026,2007 · Revtex4, The replaced version matches the published one

openalex publication_date 2007/10/22 · arxiv created 2008/01/09 · arxiv updated 2009/12/01 · openalex created_date 2017/03/16 · openalex updated_date 2026/08/03

Abstract

We investigate here spherically symmetric gravitational collapse in a space-time with an arbitrary number of dimensions and with a general type I matter field, which is a broad class that includes most of the physically reasonable matter forms. We show that given the initial data for matter in terms of the initial density and pressure profiles at an initial surface t=t_i from which the collapse evolves, there exist the rest of the initial data functions and classes of solutions of Einstein equations which we construct here, such that the space-time evolution goes to a final state which is either a black hole or a naked singularity, depending on the nature of initial data and evolutions chosen, and subject to validity of the weak energy condition. The results are discussed and analyzed in the light of the cosmic censorship hypothesis in black hole physics. The formalism here combines the earlier results on gravitational collapse in four dimensions in a unified treatment. Also the earlier work is generalized to higher-dimensional space-times to allow a study of the effect of the number of dimensions on the possible final outcome of the collapse in terms of either a black hole or naked singularity. No restriction is adopted on the number of dimensions, and other limiting assumptions such as self-similarity of space-time are avoided, in order to keep the treatment general. Our methodology allows us to consider to an extent the genericity and stability aspects related to the occurrence of naked singularities in gravitational collapse.

Citations

• Generalized Vaidya Solutions
• Black hole in three-dimensional spacetime
• Higher dimensional inhomogeneous dust collapse and cosmic censorship
• Formation of naked singularities: The violation of cosmic censorship
• Nature of Singularities in Gravitational Collapse
• Universality and scaling in gravitational collapse of a massless scalar field
• Strengths of naked singularities in Tolman-Bondi spacetimes
• An Alternative to Compactification
• Time functions in numerical relativity: Marginally bound dust collapse
• Cosmic censorship in higher dimensions

Cited by

• Naked singularity [wikipedia]