Propagation of a shock wave in a radiating spherically symmetric distribution of matter

Details Propagation of a shock wave in a radiating spherically symmetric distribution of matter Propagation of a shock wave in a radiating spherically symmetric distribution of matter

Aug 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...319..868h&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 319, Aug. 15, 1987, p. 868-884. Research supported by the Fundacion Polar a

Physics

9

Equations Of State, Gravitational Collapse, Mass Distribution, Radiative Transfer, Shock Wave Propagation, Supernovae, Astronomical Models, Matter (Physics), Rankine-Hugoniot Relation, Spheres

Scientific paper

A method used to study the evolution of radiating spheres reported by Herrera et al. (1980) is extended to the case in which the sphere is divided in two regions by a shock wave front. 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-region metric is matched with a Vaidya solution on the boundary surface of the sphere. As an example of the procedure, two known solutions for radiating systems are considered. The matter distribution is free of singularities everywhere within the sphere and a Gaussian-like pulse is assumed to carry out a fraction of the total mass. Exploding models are then obtained. Finally, the results are discussed in the light of recent work on gravitational collapse and supernovae.

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