A J M Medved et al 2004 Class. Quantum Grav. 21 3111 doi:10.1088/0264-9381/21/13/003
Dirty black holes: spacetime geometry and near-horizon symmetries
A J M Medved, Damien Martin and Matt Visser
Show affiliationsWe consider the spacetime geometry of a static but otherwise generic black hole (that is, the horizon geometry and topology are not necessarily spherically symmetric). It is demonstrated, by purely geometrical techniques, that the curvature tensors, and the Einstein tensor in particular, exhibit a very high degree of symmetry as the horizon is approached. Consequently, the stress-energy tensor will be highly constrained near any static Killing horizon. More specifically, it is shown that—at the horizon—the stress-energy tensor block-diagonalizes into 'transverse' and 'parallel' blocks, the transverse components of this tensor are proportional to the transverse metric, and these properties remain invariant under static conformal deformations. Moreover, we speculate that this geometric symmetry underlies Carlip's notion of an asymptotic near-horizon conformal symmetry controlling the entropy of a black hole.
- PACS
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04.70.Bw Classical black holes
04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
- MSC
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83C30 Asymptotic procedures (radiation, news functions, H-spaces, etc.)
- Subjects
- Dates
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Issue 13 (7 July 2004)
Received 19 February 2004
Published 3 June 2004
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Dirty black holes: spacetime geometry and near-horizon symmetries
A J M Medved et al 2004 Class. Quantum Grav. 21 3111
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