Dynamics of a radiating thick shell

Abstract

The starting point in this work is that an expanding shell is accelerated outward by radiation from the remnant star and slowed by ram pressure and accretion as it blows into the interstellar medium. The general relativistic equations of motion for such a shell is formulated. It is reduced to the standard Ostriker Gunn equations, in the non-relativistic limit. Israel formalism is used to describe the development of shell of dust which interacts only gravitationally.