The evolution of discontinuities in radiating spheres in the diffusion approximation

Abstract

The evolution of discontinuities in radiating spheres in the diffusion approximation

(Barreto Acevedo, Willians; Herrera, L.; Núñez, Luis)

Abstract

The evolution of discontinuities in a general relativistic sphere free of singularities is studied. The energy transport mechanism through fluid is diffusive. The distribution of matter is divided by a shock wave front in two regions. The equations of state at both sides of the shock are different, and the solutions are matched on it via the Rankine-Hugoniot conditions. The outer metric joins the Vaidya solution at the boundary surface of the sphere. Exploding models are obtained, and their dynamics are studied using a generalized compressibility coefficient for nonadiabatic systems.

Artículo publicado en: The Astrophysical Journal, 375:663-673,1991 July 10