Thermodynamic and classical instability of AdS black holes in fourth-order gravity
arXiv:1311.6985 · doi:10.1007/JHEP04(2014)058
Abstract
We study thermodynamic and classical instability of AdS black holes in fourth-order gravity. These include the BTZ black hole in new massive gravity, Schwarzschild-AdS black hole, and higher-dimensional AdS black holes in fourth-order gravity. All thermodynamic quantities which are computed using the Abbot-Deser-Tekin method are used to study thermodynamic instability of AdS black holes. On the other hand, we investigate the -mode Gregory-Laflamme instability of the massive graviton propagating around the AdS black holes. We establish the connection between the thermodynamic instability and the GL instability of AdS black holes in fourth-order gravity. This may show the Gubser-Mitra conjecture which holds for AdS black holes found from fourth-order gravity.
1+19 pages, 5 figures, revised version to be published in JHEP
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- Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation
- Phase transitions of the BTZ black hole in new massive gravity
- On some phase equilibrium features of charged black holes in flat spacetime via Rényi statistics
- Canonical energy and hairy AdS black holes
- Horizon thermodynamics in fourth-order gravity
- Weak cosmic censorship conjecture in BTZ black holes with scalar fields
- Thermodynamics of bosonic systems in adS spacetime
- Thermodynamics of -Dimensional Charged AdS (Anti-de Sitter) Black Holes: Hamiltonian Approach and Clapeyron Equation
- Mass-induced instability of SAdS black hole in Einstein-Ricci cubic gravity
- Primordial gravitational waves from conformal gravity