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Thermodynamic relation on higher-dimensional black hole with arbitrary cosmological constant

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arxiv 2406.10567 v1 pith:3YU6ZYOW submitted 2024-06-15 gr-qc hep-th

Junbeom Ko , Bogeun Gwak This is my paper
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We investigated the Goon--Penco (GP) relation on higher-dimensional Reissner-Nordstr\"om black holes with an arbitrary cosmological constant. It was found that the GP relation retained its form in four- and higher-dimensional spacetimes. Thus, the reactions in the black holes are universal with respect to the dimensionality. Furthermore, the GP relation was found to be universal on any state of the black hole including near-extremal and near-Nariai cases. Thus, this study showed that the GP relation was prevalent for higher-dimensional Reissner-Nordstr\"om black holes with an arbitrary cosmological constant regardless of the initial state.

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  1. Thermodynamic relation on rotating charged black strings with arbitrary cosmological constant

    hep-th 2025-07 conditional novelty 2.0 of 10

    For rotating charged black strings, the Goon-Penco relation follows directly from the extended first law, making the claimed universality a thermodynamic identity.

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