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 thermo-dynamic 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 s-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 shows that the Gubser-Mitra conjecture holds for AdS black holes found from fourth-order gravity.
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ArXiv ePrint: 1311.6985
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Myung, Y.S., Moon, T. Thermodynamic and classical instability of AdS black holes in fourth-order gravity. J. High Energ. Phys. 2014, 58 (2014). https://doi.org/10.1007/JHEP04(2014)058
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DOI: https://doi.org/10.1007/JHEP04(2014)058