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Universality on thermodynamic relation with corrections in de Sitter black holes
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We herein investigate the universal relation proposed by Goon and Penco in de Sitter black holes with electric charge or angular momentum. Our analysis focuses on the cosmological horizon, which only exists in de Sitter and Nariai spacetimes. Because the relation is given in a general case, the overall relationship may be valid. However, we elucidate the details of the relation, highlighting distinctions from those of (anti-)de Sitter black holes while affirming the validity of the relation. Furthermore, based on our analysis of Schwarzschild--de Sitter, Reissner--Nordstr\"om--de Sitter, and Kerr--de Sitter black holes, we demonstrate the universality of the thermodynamic relation in de Sitter black holes.
Forward citations
Cited by 2 Pith papers
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Universality on thermodynamic relation with corrections in higher-dimensional de Sitter black holes
The Goon-Penco thermodynamic extremality relation is verified for higher-dimensional, rotating de Sitter black holes with charge.
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Thermodynamic relation on rotating charged black strings with arbitrary cosmological constant
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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