Relativistic collapse using Regge calculus. I. Spherical collapse equations

Following work by Porter (1987), Regge calculus is used to simulate the dynamical collapse of model stars. In this paper the author describes the general methodology of including a perfect fluid in dynamical Regge calculus spacetimes. The Regge-Einstein equations for spherical collapse are obtained and are then specialised to mimic a particular continuum gauge. The equivalent continuum problem is also set up. This is to be solved using standard numerical techniques (i.e. the method of finite difference).