On non-existence of static vacuum black holes with degenerate components of the event horizon

DOI10.1088/0264-9381/23/2/018zbMath1087.83042arXivgr-qc/0512041OpenAlexW2003468819WikidataQ125814775 ScholiaQ125814775MaRDI QIDQ3376155

Paul Tod, Harvey S. Reall, Piotr T. Chrusciel

Publication date: 20 March 2006

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0512041

Mathematics Subject Classification ID

Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (30)

Mathematical general relativity: A sampler ⋮ Generalized Ricci solitons ⋮ Static Black Hole Uniqueness for nonpositive masses ⋮ Towards uniqueness of degenerate axially symmetric Killing horizon ⋮ The classification of static electro-vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior ⋮ Unnamed Item ⋮ Three-dimensional homogeneous generalized Ricci solitons ⋮ All vacuum near horizon geometries in \(D\)-dimensions with \((D-3)\) commuting rotational symmetries ⋮ Notes on \(K\)-contact manifolds as generalized Ricci solitons ⋮ Non-extremal near-horizon geometries ⋮ Rigidity of quasi-Einstein metrics: the incompressible case ⋮ Uniqueness of the extremal Schwarzschild de Sitter spacetime ⋮ Rigidity of compact static near-horizon geometries with negative cosmological constant ⋮ SOME RESULTS ON ALMOST KENMOTSU MANIFOLDS WITH GENERALIZED (k, µ)'-NULLITY DISTRIBUTION ⋮ Degenerate horizons, Einstein metrics, and Lens space bundles ⋮ New restrictions on the topology of extreme black holes ⋮ Nonexistence of degenerate horizons in static vacua and black hole uniqueness ⋮ The Petrov type D equation on genus \(>0\) sections of isolated horizons ⋮ The near horizon geometry equation on compact 2-manifolds including the general solution for \(g > 0\) ⋮ Black holes in higher dimensions ⋮ Some Ricci solitons on Kenmotsu manifold ⋮ An infinite class of extremal horizons in higher dimensions ⋮ Unnamed Item ⋮ Conditions for non-existence of static or stationary, Einstein-Maxwell, non-inheriting black-holes ⋮ A classification of near-horizon geometries of extremal vacuum black holes ⋮ Generalized Ricci soliton and paracontact geometry ⋮ Static near-horizon geometries and rigidity of quasi-Einstein manifolds ⋮ Stationary black holes: uniqueness and beyond ⋮ Classification of near-horizon geometries of extremal black holes ⋮ Generalized Ricci solitons on contact metric manifolds

This page was built for publication: On non-existence of static vacuum black holes with degenerate components of the event horizon