Gravitational collapse of a Hagedorn fluid in Vaidya geometry

Details Gravitational collapse of a Hagedorn fluid in Vaidya geometry Gravitational collapse of a Hagedorn fluid in Vaidya geometry

2003-07-14

arxiv.org/abs/gr-qc/0307064v1

Phys.Rev. D68 (2003) 064005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 2 figures, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.064005

The gravitational collapse of a high-density null charged matter fluid, satisfying the Hagedorn equation of state, is considered in the framework of the Vaidya geometry. The general solution of the gravitational field equations can be obtained in an exact parametric form. The conditions for the formation of a naked singularity, as a result of the collapse of the compact object, are also investigated. For an appropriate choice of the arbitrary integration functions the null radial outgoing geodesic, originating from the shell focussing central singularity, admits one or more positive roots. Hence a collapsing Hagedorn fluid could end either as a black hole, or as a naked singularity. A possible astrophysical application of the model, to describe the energy source of gamma-ray bursts, is also considered.

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