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Correlated stability conjecture for AdS black holes in higher dimensional Ricci cubic gravity

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Abstract

We investigate the correlated stability conjecture for AdS black holes obtained from the higher dimensional Ricci cubic gravity. It shows that the Ricci tensor perturbations exhibit unstable modes for small AdS black holes when solving Lichnerowicz equation, leading to Gregory–Laflamme instability. On the other hand, we find that a small black hole is thermodynamically unstable by showing the negative heat capacity. This suggests that the correlated stability conjecture holds for AdS black holes in Ricci cubic gravity. Furthermore, we find a newly non-AdS black hole by solving static Lichnerowicz equations, confirming the threshold mass for Gregory–Laflamme instability.

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Authors and Affiliations

  1. Department of Simulation and Institute of Basic Science, Inje University, Gimhae, 50834, Korea

    Yun Soo Myung

  2. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, 330022, China

    De-Cheng Zou

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Contributions

YSM wrote the main manuscript text prepared Figs. 1 and 3. DCZ computed sect. 5 and 7 and prepared Figs. 2 and 4.

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Correspondence to Yun Soo Myung.

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Myung, Y.S., Zou, DC. Correlated stability conjecture for AdS black holes in higher dimensional Ricci cubic gravity. Gen Relativ Gravit 55, 81 (2023). https://doi.org/10.1007/s10714-023-03129-0

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