Multigrid in general relativity. I - Schwarzschild spacetime

Details Multigrid in general relativity. I - Schwarzschild spacetime Multigrid in general relativity. I - Schwarzschild spacetime

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5..713b&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, May 1, 1988, p. 713-732.

Statistics

Computation

9

Computational Grids, Conformal Mapping, Relativity, Schwarzschild Metric, Space-Time Functions, Black Holes (Astronomy), Einstein Equations, Gravitational Effects, Singularity (Mathematics)

Scientific paper

The multigrid method has been used to numerically solve the stationary axisymmetric Einstein equations in vacuum. Results have been obtained for the case where the equations are specialized to the Schwarzschild metric, with emphasis on the effect of singularities. The analysis takes into account the horizon and Neumann boundary conditions. The results indicate that the full multigrid algorithm 1-FMG is sufficient for solving the equations to a level of truncation error. The method has application to the study of self-gravitating tori rotating around rapidly rotating black holes.

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