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Collapsing Perfect Fluid in Higher Dimensional Spherical Spacetimes

J. F. Villas da Rocha·Anzhong Wang
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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 $p = αρ$ 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.

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J. F. Villas da Rocha, Anzhong Wang. 2004-01-11. Collapsing Perfect Fluid in Higher Dimensional Spherical Spacetimes. https://doi.org/10.1088/0264-9381%2F17%2F13%2F310

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