Final fate of the spherically symmetric collapse of a perfect fluid

Details Final fate of the spherically symmetric collapse of a perfect fluid Final fate of the spherically symmetric collapse of a perfect fluid

1998-07-16

arxiv.org/abs/gr-qc/9807038v2

Phys.Rev. D58 (1998) 104015

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, including 21 ps figures. Accepted for publication in Physical Review D, Typos corrected, References updated

Scientific paper

10.1103/PhysRevD.58.104015

The final fate of the spherically symmetric collapse of a perfect fluid which follows the $\gamma$-law equation of state and adiabatic condition is investigated. Full general relativistic hydrodynamics is solved numerically using a retarded time coordinate, the so-called observer time coordinate. Thanks to this coordinate, the causal structure of the resultant space-time is automatically constructed. Then, it is found that a globally naked, shell-focusing singularity can occur at the center from relativistically high-density, isentropic and time symmetric initial data if $\gamma \alt 1.01$ within the numerical accuracy. The result is free from the assumption of self-similarity. The upper limit of $\gamma$ with which a naked singularity can occur from generic initial data is consistent with the result of Ori and Piran based on the assumption of self-similarity.

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