Thermodynamics, Phase Transition and Quasinormal modes with Weyl corrections

Abstract

We study charged black holes in D dimensional AdS space, in the presence of four derivative Weyl correction. We obtain the black hole solution perturbatively up to first as well as second order in the Weyl coupling, and show that first law of black hole thermodynamics is satisfied in all dimensions. We study its thermodynamic phase transition and then calculate the quasinormal frequencies of the massless scalar field perturbation. We find that, here too, the quasinormal frequencies capture the essence of black hole phase transition. Few subtleties near the second order critical point are discussed.

1+26 pages, 16 figures

References in corpus (9)

• Conformal collider physics: Energy and charge correlations
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• p-Wave holographic superconductors with Weyl corrections
• Quasi-normal Modes of Electromagnetic Perturbations of Four-Dimensional Topological Black Holes with Scalar Hair
• Quasinormal modes and phase Transition of black holes
• Phase transition for black holes with scalar hair and topological black holes
• Renormalized AdS action and Critical Gravity
• Generalized Holographic Superconductors with Higher Derivative Couplings

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