On the dynamics of a thin spherically symmetric radiating shell, its classical model, and relativistic effects

Physics

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Novae, Relativistic Effects, Stellar Models, Supernovae, Equations Of Motion, Light Curve

Scientific paper

A general relativity model of nova and supernova explosions is studied and improved. The model consists of a radiating shell of thin dust that expands and contracts; the shell is a three-dimensional singular hypersurface with two spacelike dimensions and one timelike dimension and with a Schwarzschild metric inside and a Vaidya metric outside. Using this model, Hamity and Gleiser (1978) obtained a system of two equations with three unknown variables; they proposed a third equation devoid of physical significance which enabled them to find light curves closely resembling those of nova and supernovae. Here, the third missing equation with physical meaning is found, which permits the model to be generalized in order to find the classical solution to the problem and to determine possible relativisitc effects.

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