The Relativistic Dynamics of a Thin Spherically Symmetric Radiating Shell in the Presence of a Central Body
Abstract
We construct an idealized spherically symmetric relativistic model of an exploding object within the framework of the theory of surface layers in GR. A Vaidya solution for a radially radiating star is matched through a spherical shell of dust to a Schwarzschild solution. The (incomplete) equations for the motion of the spherical shell of dust and the radiation density of the Vaidya solution, as given by the matching conditions, are reduced to a firstorder system and a general analysis of the characteristics of the motion is given. This system of differential equations is completed, adding a relation between the unknowns which represents the simplest way to avoid an unphysical singularity in the motion. The results of a numerical integration of the equations are presented in two cases which we think may have some relationship to stellar explosions. A comparative set of results for other solutions is also given, and some possible generalizations of the model are pointed out.
 Publication:

Astrophysics and Space Science
 Pub Date:
 October 1978
 DOI:
 10.1007/BF00644522
 Bibcode:
 1978Ap&SS..58..353H
 Keywords:

 Cosmic Dust;
 Relativity;
 Stellar Envelopes;
 Stellar Mass Ejection;
 Stellar Models;
 Astronomical Models;
 Black Holes (Astronomy);
 Equations Of Motion;
 Neutron Stars;
 Nuclear Fusion;
 SpaceTime Functions;
 Stellar Radiation;
 Astrophysics