Universal thermodynamic relations with constant corrections for five-dimensional de Sitter spacetime*

Abstract In this study, we built upon the method proposed by Goon and Penco for analyzing the universality of thermodynamic relations with corrections in de Sitter (dS) black holes. Additionally, based on our analysis of non-linear magnetically charged black holes in dS spacetime, five-dimensional dS hairy spacetime, and five-dimensional charged-dS rotating black holes, we demonstrate the universality of thermodynamic relations in dS black holes. This establishes a universal conjecture relating shifted thermodynamic quantities for arbitrary black-hole backgrounds. We consider that these universal relations will offer new insights into the realm of quantum gravity.