Papers
Authors
Leo Brewin
Abstract
The second Bianchi identity can be recast as an evolution equation for the Riemann
curvatures. Here we will report on such a system for a vacuum static spherically
symmetric spacetime. This is the first of two papers. In the following
paper we will extend the ideas developed here
to general vacuum spacetimes. In this paper we will demonstrate our ideas on a
Schwarzschild spacetime and give detailed numerical results. For suitable choices
of lapse function we find that the system gives excellent results with long term
stability.
Reference