Nonadiabatic charged spherical gravitational collapse

Details Nonadiabatic charged spherical gravitational collapse Nonadiabatic charged spherical gravitational collapse

2007-07-18

arxiv.org/abs/0707.2794v2

Phys.Rev.D76:064017,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, Latex. To appear in Phys. Rev. D. Some references corrected

Scientific paper

10.1103/PhysRevD.76.064017

We present a complete set of the equations and matching conditions required for the description of physically meaningful charged, dissipative, spherically symmetric gravitational collapse with shear. Dissipation is described with both free-streaming and diffusion approximations. The effects of viscosity are also taken into account. The roles of different terms in the dynamical equation are analyzed in detail. The dynamical equation is coupled to a causal transport equation in the context of Israel-Stewart theory. The decrease of the inertial mass density of the fluid, by a factor which depends on its internal thermodynamic state, is reobtained, with the viscosity terms included. In accordance with the equivalence principle, the same decrease factor is obtained for the gravitational force term. The effect of the electric charge on the relation between the Weyl tensor and the inhomogeneity of energy density is discussed.

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