Negative Pressure and Naked Singularities in Spherical Gravitational Collapse

Details Negative Pressure and Naked Singularities in Spherical Gravitational Collapse Negative Pressure and Naked Singularities in Spherical Gravitational Collapse

1996-09-23

arxiv.org/abs/gr-qc/9609051v1

Class.Quant.Grav. 14 (1997) 2195-2201

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, LaTeX File

Scientific paper

10.1088/0264-9381/14/8/018

Assuming the weak energy condition, we study the nature of the non-central shell-focussing singularity which can form in the gravitational collapse of a spherical compact object in classical general relativity. We show that if the radial pressure is positive, the singularity is covered by a horizon. For negative radial pressures, the singularity will be covered if the ratio of pressure to the density is greater than -1/3 and naked if this ratio is $\leq -1/3$.

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