https://doi.org/10.1140/epjc/s10052-025-14375-8
Letter
Universality on the thermodynamic relation with corrections in higher-dimensional de Sitter black holes
1
Department of Physics, Shanxi Datong University, 037009, Datong, China
2
Institute of Theoretical Physics, Shanxi Datong University, 037009, Datong, China
Received:
15
April
2025
Accepted:
29
May
2025
Published online:
21
June
2025
In this study, the methodology proposed by Goon and Penco for investigating the universality of thermodynamic relations with corrections in de Sitter black holes is extended. A universal thermodynamic extremality relation, considering the spacetime mass M with various state parameters, proposed by Goon and Penco is investigated in higher-dimensional spacetime. The established universal conclusions are not impacted by the convergence of energy from the coexistence region of two horizons to the point N or C. Furthermore, by incorporating the shift of the angular momentum into our analysis, a more universal relation is derived, specifically applicable to rotating configurations. Notably, a novel conjecture is formulated that establishes a universal relationship framework connecting shifted thermodynamic quantities across arbitrary black hole backgrounds. These findings are expected to offer profound insights into the fundamental principles of quantum gravity.
© The Author(s) 2025
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Funded by SCOAP3.
