Maximally slicing a black hole with minimal distortion

Journal Article · Fri Mar 15 04:00:00 EST 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.1267· OSTI ID:5993198

Duncan, M J

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-Nordstroem 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 Vertical BaraVertical Bar

• Research Organization: Department of Astronomy and Division of Physical Sciences, Scarborough Campus, University of Toronto, Scarborough, Ontario, Canada M1C 1A4
• OSTI ID: 5993198
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
BLACK HOLES
COSMOLOGY
GRAVITATIONAL COLLAPSE
KERR METRIC
METRICS
NUMERICAL SOLUTION
SPACE-TIME