The spacetime in the neighborhood of a general isolated black hole

Abstract

We construct the spacetime in the vicinity of a general isolated, rotating, charged black hole. The black hole is modeled as a weakly isolated horizon, and we use the characteristic initial value formulation of the Einstein equations with the horizon as an inner boundary. The spacetime metric and other geometric fields are expanded in a power series in a radial coordinate away from the horizon by solving the characteristic field equations in the Newman-Penrose formalism. This is the first in a series of papers which investigate the near horizon geometry and its physical applications using the isolated horizon framework.

23 pages, 1 figure

References in corpus (7)

• On the gravitational polarizability of black holes
• Geometry and dynamics of a tidally deformed black hole
• Approximate Killing Vectors on S^2
• Symmetric non-expanding horizons
• Tidal interaction of a small black hole in the field of a large Kerr black hole
• Approximate Killing Fields as an Eigenvalue Problem
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Cited by in corpus (26)

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• Asymptotics with a positive cosmological constant: IV. The `no-incoming radiation' condition
• Quasi-local black hole horizons
• Horizons in a binary black hole merger I: Geometry and area increase
• Quasi-Local Black Hole Horizons: Recent Advances
• The Meissner Effect for axially symmetric charged black holes
• The Meissner effect for weakly isolated horizons
• Quasilocal rotating conformal Killing horizons
• Kerr-Newman black hole in the formalism of isolated horizons
• Neighbourhoods of Isolated Horizons and their stationarity
• Extremal isolated horizons with $\Lambda$ and the related unique type D black holes
• Can an evolving Universe host a static event horizon?
• Uniqueness of extremal isolated horizons and their identification with horizons of all type D black holes
• Spacetime near Kerr isolated horizon
• Horizons as boundary conditions in spherical symmetry
• Initial data for a deformed isolated horizon
• Recovering information of tunneling spectrum from Weakly Isolated Horizon
• On Super-Translation transition between Quasi-local Black holes
• Kerr black hole in the formalism of isolated horizons
• Notes on no black hole theorem in three dimensional gravity
• Geometry of isolated horizons
• A note on electrical and thermodynamic properties of Isolated Horizon
• Kerr isolated horizon revisited: Caustic-free congruence and adapted tetrad