A note on degeneracy, marginal stability and extremality of black hole horizons
arXiv:1206.1271 · doi:10.1088/0264-9381/29/17/177001
Abstract
Given a stationary axisymmetric black hole horizon admitting a section characterised as a strictly future stable marginally outer trapped surface, we extend the equivalence between the notions of horizon degeneracy and marginal stability to the fulfillment, under the dominant energy condition, of the A=8π|J| geometric relation between the area and the angular momentum J of a horizon section.
arXiv comment6 pages, no figures, updated to match published version
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Cited by in corpus (8)
- Classification of near-horizon geometries of extremal black holes
- Area products for stationary black hole horizons
- The existence and stability of marginally trapped surfaces
- Black hole Area-Angular momentum-Charge inequality in dynamical non-vacuum spacetimes
- Proof of the area-angular momentum-charge inequality for axisymmetric black holes
- Area-angular momentum-charge inequality for stable marginally outer trapped surfaces in 4D Einstein-Maxwell-dilaton theory
- Horizon area-angular momentum-charge-magnetic fluxes inequalities in 5D Einstein-Maxwell-dilaton gravity
- Mass angular momentum and charge inequalities for black holes in Einstein-Maxwell-axion-dilaton gravity