Black Hole Interaction Energy

Abstract

The interaction energy between two black holes at large separation distance is calculated. The first term in the expansion corresponds to the Newtonian interaction between the masses. The second term corresponds to the spin-spin interaction. The calculation is based on the interaction energy defined on the two black holes initial data. No test particle approximation is used. The relation between this formula and cosmic censorship is discussed.

18 pages, 2 figures, LaTeX2e

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• Numerical Relativity: A review
• Modeling gravitational radiation from coalescing binary black holes
• Plunge waveforms from inspiralling binary black holes
• Asymptotically Flat Initial Data with Prescribed Regularity at Infinity
• Initial data for two Kerr-like black holes
• Initial data for a head on collision of two Kerr-like black holes with close limit
• The magnetic dipole interaction in Einstein-Maxwell theory

Cited by in corpus (5)

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• Physics and Initial Data for Multiple Black Hole Spacetimes
• Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes
• Time asymmetric spacetimes near null and spatial infinity. II. Expansions of developments of initial data sets with non-smooth conformal metrics
• Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations