Instability of Schwarzschild-AdS black hole in Einstein-Weyl gravity
arXiv:1308.1455 · doi:10.1016/j.physletb.2013.12.019
Abstract
We investigate the classical stability of Schwarzschild-AdS black hole in a massive theory of the Einstein-Weyl gravity. It turns out that the linearized Einstein tensor perturbations exhibit unstable modes featuring the Gregory-Laflamme instability of five-dimensional AdS black string, in contrast to the stable Schwarzschild-AdS black hole in the Einstein-Weyl gravity. We confirm that the instability of the black hole in the Einstein-Weyl gravity arises from the massiveness but not a feature of fourth-order derivative theory giving ghost states.
1+13 pages, 1 figure, a version to appear in PLB
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- Thermodynamic and classical instability of AdS black holes in fourth-order gravity
- The Maxwell-Chern-Simons gravity and its cosmological implications
- Gregory-Laflamme instability of BTZ black hole in new massive gravity
- Black hole stability in Jordan and Einstein frames
- Mass-induced instability of SAdS black hole in Einstein-Ricci cubic gravity