Nonadiabatic charged spherical gravitational collapse

Abstract

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.

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

References in corpus (20)

• Static charged perfect fluid spheres in general relativity
• Spherically symmetric dissipative anisotropic fluids: A general study
• Quark stars admitting a one-parameter group of conformal motions
• Electrically charged compact stars and formation of charged black holes
• Electric fields at the quark surface of strange stars in the color-flavor locked phase
• Dynamics of dissipative gravitational collapse
• Minimum mass-radius ratio for charged gravitational objects
• How viscous is a superfluid neutron star core?
• Relativistic Structure, Stability and Gravitational Collapse of Charged Neutron Stars
• Relativistic Charged Spheres II: Regularity and Stability
• Maximum Mass-Radius Ratios for Charged Compact General Relativistic Objects
• Why Gravitational Contraction Must be Accompanied by Emission of Radiation Both in Newtonian and Einstein Gravity
• Hyperbolic theories of dissipation: Why and when do we need them?
• Shear-free and homology conditions for self-gravitating dissipative fluids
• Instability of Extremal Relativistic Charged Spheres
• Bulk viscosity of strange quark matter: Urca versus non-leptonic processes
• Self--similar and charged radiating spheres: An anisotropic approach
• Spherically symmetric models for charged radiating stars and voids: Theoretical approach
• Charge Asymmetry in the Brane World and Formation of Charged Black Holes
• Vacuum Breakdown near a Black Hole Charged by Hypercritical Accretion

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