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Thermodynamics for regular black holes as intermediate thermodynamic states and quasinormal frequencies

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arxiv 2311.12286 v2 pith:CXMVL3PD submitted 2023-11-21 gr-qc hep-th

Thermodynamics for regular black holes as intermediate thermodynamic states and quasinormal frequencies

classification gr-qc hep-th
keywords regularstatesblackclassholesrbhsthermodynamicformalism
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The thermodynamics for regular black holes (RBHs) is considered under the restricted phase space (RPS) formalism. It is shown that the RPS formalism seems to hold for RBHs, however, in order for the extensive thermodynamic parameters to be independent from each other, the RBHs need to be viewed as intermediate thermodynamic states in a larger class of black holes (BHs) which admit both regular and singular states. This idea is checked for several classes of BHs. In particular, for the electrically charged Hayward class BHs, it is shown that the regular states can either be thermodynamically stable or unstable, depending on the amount of charges carried by the BHs. The quasinormal frequencies for the Hayward class BHs are also analyzed, and it turns out that, even for the thermodynamically unstable regular states, the dynamic stability still holds, at least under massless scalar perturbations.

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Cited by 9 Pith papers

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