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Thermodynamics, Phase Transition and Quasinormal modes with Weyl corrections

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arxiv 1602.03007 v1 pith:QW2BLHKF submitted 2016-02-09 hep-th gr-qc

Subhash Mahapatra This is my paper · ORCID
classification hep-thgr-qc
keywords blackholephasequasinormaltransitionweylfirstfrequencies
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Thermodynamic Topology of 4D Charged AdS Black Holes with $F^{\alpha\beta}F^{\gamma\lambda}R_{\alpha\gamma\beta\lambda}$ Coupling

    hep-th 2026-02 conditional novelty 4.0 of 10

    A 4D charged AdS black hole with an FFR non-minimal coupling has van der Waals criticality and belongs to topological class W_{1+} with winding numbers (+1, -1, +1).

  2. Mapping Quasi-Periodic Oscillations to Lyapunov Exponent across Black Hole Thermodynamic Phase Transitions

    gr-qc 2025-10 reject novelty 4.0 of 10

    For a nonminimally coupled magnetic AdS black hole, the Lyapunov exponent and QPO frequencies both reproduce the swallowtail branch structure of the Van der Waals-like thermodynamic phase transition.

  3. Gaussian curvature and Lyapunov exponent as probes of black hole phase transitions

    gr-qc 2025-09 conditional novelty 4.0 of 10

    Gaussian curvature at the light ring inherits the swallowtail multivaluedness of free energy in first-order black hole phase transitions, following directly from K = -λ².

  4. Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

    gr-qc 2025-05 conditional novelty 4.0 of 10

    For 4D R-charged black holes, the Lyapunov exponent of unstable circular orbits tracks black hole phase transitions, and its discontinuity near the critical point shows a universal critical exponent of 1/2.

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