Maximally slicing a black hole with minimal distortion

Details Maximally slicing a black hole with minimal distortion Maximally slicing a black hole with minimal distortion

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.1267d&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 6, 15 March 1985, pp.1267-1272

Physics

7

Black Holes, Exact Solutions, Relativity And Gravitation

Scientific paper

Equations are derived which determine the maximal hypersurfaces of the analytically extended Kerr-Newman spacetime. An analytic solution is obtained in the charged, nonrotating case for the asymptotically flat maximal hypersurfaces of the Reissner-Nordström spacetime using spatial coordinates which minimize the coordinate distortion. The slices tend asymptotically in time to a limiting hypersurface lying between the inner and outer horizons, while covering the domain of outer communication of the black hole. The coordinate lines are drawn down the black hole if coordinate symmetry is maintained across the throat. The equation for the limiting hypersurface in the Kerr geometry is solved numerically. An apparently unique solution exists for all rotating black holes with specific angular momentum ||a||

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