Numerical Relativity. II. Numerical Methods for the Characteristic Initial Value Problem and the Evolution of the Vacuum Field Equations for Space- Times with Two Killing Vectors

Details Numerical Relativity. II. Numerical Methods for the Characteristic Initial Value Problem and the Evolution of the Vacuum Field Equations for Space- Times with Two Killing Vectors Numerical Relativity. II. Numerical Methods for the Characteristic Initial Value Problem and the Evolution of the Vacuum Field Equations for Space- Times with Two Killing Vectors

Apr 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983rspsa.386..373c&link_type=abstract

Proceedings of The Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 386, Issue 1791, pp. 373-391

Physics

19

Scientific paper

This is the second of a sequence of papers on the numerical solution of the characteristic initial value problem in general relativity. Although the equations to be integrated have regular coefficients, the nonlinearity leads to the occurrence of singularities after a finite evolution time. In this paper we first discuss some novel techniques for integrating the equations right up to the singularities. The second half of the paper presents as examples the numerical evolution of the Schwarzschild and certain colliding plane wave space-times.

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