Collapsing Perfect Fluid in Higher Dimensional Spherical Spacetimes

Abstract

The general metric for N-dimensional spherically symmetric and conformally flat spacetimes is given, and all the homogeneous and isotropic solutions for a perfect fluid with the equation of state $p=\alpha \rho$ are found. These solutions are then used to model the gravitational collapse of a compact ball. 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 a symmetry, the formation of black holes always starts with a mass gap.

Class. Quantum Grav. 17 (2000) 2589-2596

References in corpus (3)

• Self-Similar Collapse of Scalar Field in Higher Dimensions
• Choptuik scaling in six dimensions
• Gravitational Collapse of Perfect Fluid

Cited by in corpus (19)

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• Trapped surfaces, horizons and exact solutions in higher dimensions
• Higher dimensional inhomogeneous dust collapse and cosmic censorship
• Gravitational collapse of Type II fluid in higher dimensional space-times
• Topological Charged Black Holes in High Dimensional Spacetimes and Their Formation from Gravitational Collapse of a Type II Fluid
• Einstein-Cartan gravitational collapse of a homogeneous Weyssenhoff fluid
• Three parameter metrics in the presence of a scalar field in four and higher dimensions
• Higher dimensional dust collapse with a cosmological constant
• Gravitational collapse with tachyon field and barotropic fluid
• Trapped surfaces and nature of singularities in Lyra's geometry
• Instability of black hole formation under small pressure perturbations
• All black holes in Lemaitre-Tolman-Bondi inhomogeneous dust collapse
• Black hole formation from the gravitational collapse of a non-spherical network of structures
• Naked singularities in higher dimensional inhomogeneous dust collapse
• Collapsing perfect fluid in self-similar five dimensional space-time and cosmic censorship
• Gravitational Collapse of an Imperfect Non Adiabatic Fluid
• The cosmic censorship conjecture in a higher dimensional spacetime with an interacting vacuum energy