Relativistic collapse using Regge calculus. I - Spherical collapse equations

Statistics – Methodology

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Gravitational Collapse, Regge Poles, Relativistic Theory, Space-Time Functions, Einstein Equations, Finite Difference Theory, Ideal Fluids, Spherical Harmonics, Stellar Models

Scientific paper

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

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