Coordinates and boundary conditions for the general relativistic initial data problem

Details Coordinates and boundary conditions for the general relativistic initial data problem Coordinates and boundary conditions for the general relativistic initial data problem

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4.1119t&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, Sept. 1, 1987, p. 1119-1131. Research supported by the University of Bri

Statistics

Computation

81

Black Holes (Astronomy), Boundary Conditions, Boundary Value Problems, Coordinates, Relativity, Cauchy Problem, Computational Grids, Constraints, Flatness, Schwarzschild Metric, Temporal Distribution

Scientific paper

York's (1984) method is used to numerically obtain data on a Cauchy surface representing spacetimes containing arbitrary numbers of black holes, each with arbitrary mass, position, momentum, and spin. The present initial data slices are maximal and 3-conformally flat. Advantages of the use of a marginally trapped surface boundary condition on black hole surfaces for generating inital data are pointed out. Conditions governing the choice of spatial coordinates are considered. The techniques are demonstrated with the example of a space containing two approaching black holes.

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