Dynamics of dissipative gravitational collapse

Details Dynamics of dissipative gravitational collapse Dynamics of dissipative gravitational collapse

2004-10-04

arxiv.org/abs/gr-qc/0410014v2

Phys.Rev.D70:084004,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Some misprints in eqs.(38) and (39) corrected

Scientific paper

10.1103/PhysRevD.70.084004

The Misner and Sharp approach to the study of gravitational collapse is extended to the dissipative case in, both, the streaming out and the diffusion approximations. The role of different terms in the dynamical equation are analyzed in detail. The dynamical equation is then coupled to a causal transport equation in the context of Israel--Stewart theory. The decreasing of the inertial mass density of the fluid, by a factor which depends on its internal thermodynamics state, is reobtained, at any time scale. In accordance with the equivalence principle, the same decreasing factor is obtained for the gravitational force term. Prospective applications of this result to some astrophysical scenarios are discussed.

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