Black holes with gravitational hair in higher dimensions
arXiv:1108.1476 · doi:10.1103/PhysRevD.84.084015
Abstract
A new class of vacuum black holes for the most general gravity theory leading to second order field equations in the metric in even dimensions is presented. These space-times are locally AdS in the asymptotic region, and are characterized by a continuous parameter that does not enter in the conserve charges, nor it can be reabsorbed by a coordinate transformation: it is therefore a purely gravitational hair. The black holes are constructed as a warped product of a two-dimensional space-time, which resembles the r-t plane of the BTZ black hole, times a warp factor multiplying the metric of a D-2-dimensional Euclidean base manifold, which is restricted by a scalar equation. It is shown that all the Noether charges vanish. Furthermore, this is consistent with the Euclidean action approach: even though the black hole has a finite temperature, both the entropy and the mass vanish. Interesting examples of base manifolds are given in eight dimensions which are products of Thurston geometries, giving then a nontrivial topology to the black hole horizon. The possibility of introducing a torsional hair for these solutions is also discussed.
References in corpus (12)
- Massive Gravity in Three Dimensions
- A Note on Thermodynamics of Black Holes in Lovelock Gravity
- Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
- Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
- Mass and Free Energy of Lovelock Black Holes
- Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry
- Vacuum solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory
- Some exact solutions with torsion in 5-D Einstein-Gauss-Bonnet gravity
- Vacuum static compactified wormholes in eight-dimensional Lovelock theory
- Gribov ambiguity in asymptotically AdS three-dimensional gravity
- Entropy spectrum of the D-dimensional massless topological black hole
- Gauged WZW models for space-time groups and gravitational actions
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- The different phases of hairy black holes in AdS5 space
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