The relativistic dynamics of a thin spherically symmetric radiating shell in the presence of a central body

Details The relativistic dynamics of a thin spherically symmetric radiating shell in the presence of a central body The relativistic dynamics of a thin spherically symmetric radiating shell in the presence of a central body

Oct 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..58..353h&link_type=abstract

Astrophysics and Space Science, vol. 58, no. 2, Oct. 1978, p. 353-364.

Astronomy and Astrophysics

Astronomy

14

Cosmic Dust, Relativity, Stellar Envelopes, Stellar Mass Ejection, Stellar Models, Astronomical Models, Black Holes (Astronomy), Equations Of Motion, Neutron Stars, Nuclear Fusion, Space-Time Functions, Stellar Radiation

Scientific paper

An idealized spherically symmetric relativistic model of an exploding object is constructed within the framework of the theory of surface layers in general relativity. A Vaidya solution for a radially emitting star is matched through a spherical dust shell to a Schwarzschild solution. The (incomplete) equations of motion for the spherical dust shell and the radiation density of the Vaidya solution, as given by the matching conditions, are reduced to a first-order system, and a general analysis of the characteristics of the motion is given. This system of differential equations is completed by adding a relation between the unknowns which represent 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 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.

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