Gravitational Collapse of Perfect Fluid in N-Dimensional Spherically Symmetric Spacetimes

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The Riemann, Ricci and Einstein tensors for N-dimensional spherically symmetric spacetimes in various systems of coordinates are studied, and the general metric for conformally flat spacetimes is given. As an application, all the Friedmann-Robertson-Walker-like solutions for a perfect fluid with an equation of state $p = k ρ$ are found. Then, these solutions are used to model the gravitational collapse of a compact ball, by first cutting them along a timelike hypersurface and then joining them with asymptotically flat Vaidya solutions. It is found that when the collapse has continuous self-similarity, the formation of black holes always starts with zero mass, and when the collapse has no such symmetry, the formation of black holes always starts with a finite non-zero mass.
Some typos are corrected, and new references are added

Keywords

General Relativity and Quantum Cosmology

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/36661

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9910109
 http://arxiv.org/abs/gr-qc/9910109

Collections

arXiv