Time-asymmetric initial data for black holes and black-hole collisions

Journal Article · Tue Apr 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.2047· OSTI ID:5392738

Bowen, J M; York, Jr, J W

As a first step in constructing initial data for dynamic black holes and general black-hole collisions, we study nonsingular vacuum Cauchy hypersurfaces with two isometric asymptotically flat ends connected by an Einstein-Rosen-type bridge. These hypersurfaces are assumed to be conformally flat and maximally embedded in space-time but are neither spherically symmetric nor time symmetric. Three of the four constraints are solved explicitly for suitable extrinsic curvature tensors that possess linear momentum and/or intrinsic angular momentum. The complete initial data are shown to transform invariantly, modulo the sign of the extrinsic curvature tensor, under inversion through a minimal two-surface that represents the ''throat'' of the geometry. These and other properties show that the data represent a particular epoch in the history of a dynamic black hole. We describe the relation of our data to that of the Schwarzschild and Kerr black holes. Finally, we discuss the generalization to encounters of two or more black holes.

• Research Organization: Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27514
• OSTI ID: 5392738
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
BLACK HOLES
BOUNDARY-VALUE PROBLEMS
COLLISIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
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FIELD THEORIES
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GRAVITATIONAL FIELDS
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MANY-BODY PROBLEM
METRICS
PERTURBATION THEORY
SCHWARZSCHILD RADIUS
SPACE-TIME
TENSOR FORCES
TWO-BODY PROBLEM
VACUUM STATES