Dynamics of viscous dissipative gravitational collapse: A full causal approach

Abstract

The Misner and Sharp approach to the study of gravitational collapse is extended to the viscous dissipative case in, both, the streaming out and the diffusion approximations. The dynamical equation is then coupled to causal transport equations for the heat flux, the shear and the bulk viscosity, in the context of Israel--Stewart theory, without excluding the thermodynamics viscous/heat coupling coefficients. The result is compared with previous works where these later coefficients were neglected and viscosity variables were not assumed to satisfy causal transport equations. Prospective applications of this result to some astrophysical scenarios are discussed.

22 pages Latex. To appear in Int. J. Mod. Phys. D. Typos corrected

References in corpus (6)

• Nonadiabatic charged spherical gravitational collapse
• Some analytical models of radiating collapsing spheres
• The inertia of heat and its role in the dynamics of dissipative collapse
• Nonlinear Shear-free Radiative Collapse
• A Riccati equation in radiative stellar collapse
• Thermal conductivity of ions in a neutron star envelope