A New Method for Solving the Initial Value Problem with Application to Multiple Black Holes

Details A New Method for Solving the Initial Value Problem with Application to Multiple Black Holes A New Method for Solving the Initial Value Problem with Application to Multiple Black Holes

1998-02-03

arxiv.org/abs/gr-qc/9802006v1

Phys.Rev. D59 (1999) 044030

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

10.1103/PhysRevD.59.044030

This work consists of two distinct parts. In the first part we present a new method for solving the initial value problem of general relativity. Given any spatial metric with a surface orthogonal Killing field and two freely specified components of the extrinsic curvature we solve for extrinsic curvature's remaining components. For the second part, after noting that initial data for the Kerr spacetime can be derived within our formalism we construct data for axisymmetric configurations of spinning black holes. Though our method is limited to axisymmetry, it offers an advantage over the Bowen-York proceedure that our data approach those for Kerr holes in the limit of large separations and in the close limit.

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