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

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....

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Bibliographic Details
Published in:General relativity and gravitation 2023-07, Vol.55 (7), Article 81
Main Authors: Myung, Yun Soo, Zou, De-Cheng
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Black holes
Classical and Quantum Gravitation
Correlation
Differential Geometry
Gravity
Mathematical and Computational Physics
Perturbation
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Stability
Tensors
Theoretical
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Summary: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.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-023-03129-0