Isolated Horizon structures in quasiequilibrium black hole initial data

Abstract

Isolated horizon conditions enforce the time invariance of both the intrinsic and the extrinsic geometry of a (quasilocal) black hole horizon. Nonexpanding horizons, only requiring the invariance of the intrinsic geometry, have been successfully employed in the (excision) initial data of black holes in instantaneous equilibrium. Here we propose the use of the full isolated horizon structure when solving the elliptic system resulting from the complete set of conformal 3+1 Einstein equations under a quasiequilibrium ansatz prescription. We argue that a set of geometric inner boundary conditions for this extended elliptic system then follows, determining the shape of the excision surface.

4 pages, no figures. Shortened presentation matching the published version

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Cited by in corpus (9)

• An introduction to local Black Hole horizons in the 3+1 approach to General Relativity
• Stability of MOTS in totally geodesic null horizons
• Initial data for perturbed Kerr black holes on hyperboloidal slices
• Excised black hole spacetimes: quasi-local horizon formalism applied to the Kerr example
• Quasi-Local Black Hole Horizons: Recent Advances
• Multiple Killing Horizons
• An excision scheme for black holes in constrained evolution formulations: spherically symmetric case
• General matching across Killing horizons of zero order
• A note on electrical and thermodynamic properties of Isolated Horizon