Existence and uniqueness of solutions to characteristic evolution in Bondi-Sachs coordinates in general relativity

Details Existence and uniqueness of solutions to characteristic evolution in Bondi-Sachs coordinates in general relativity Existence and uniqueness of solutions to characteristic evolution in Bondi-Sachs coordinates in general relativity

Apr 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phrvd..59h4012f&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 59, Issue 8, 15 April 1999, id. 084012

Physics

8

Initial Value Problem, Existence And Uniqueness Of Solutions, Numerical Relativity

Scientific paper

We show that the theorem of Duff on the existence and uniqueness of solutions to linear characteristic initial-value problems holds in the case of linearized characteristic evolution in Bondi-Sachs coordinates in general relativity. This represents the characteristic equivalent to the manifest existence and uniqueness of the case of standard Cauchy problems. This extends Sachs' original work on the characteristic approach to the Einstein equations, by considering a null-timelike approach rather than a null-asymptotic one.

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