The evolution of discontinuities in radiating spheres in the diffusion approximation

Details The evolution of discontinuities in radiating spheres in the diffusion approximation The evolution of discontinuities in radiating spheres in the diffusion approximation

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...375..663b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 375, July 10, 1991, p. 663-673.

Astronomy and Astrophysics

Astrophysics

6

Radiation Distribution, Rankine-Hugoniot Relation, Relativity, Shock Discontinuity, Approximation, Diffusion, Heat Transmission, Spheres

Scientific paper

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.

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