Black Hole Thermodynamics without Black Hole Solutions

Meng-Nan Yang; Guan-Yi Lu; H. Lü

doi:10.1103/w25x-6948

Black Hole Thermodynamics without Black Hole Solutions

Meng-Nan Yang ^1,*, Guan-Yi Lu ^1,†, and H. Lü ^2,1,‡

¹The International Joint Institute of Tianjin University, Fuzhou, Tianjin University, Tianjin 300072, China
²Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University, Tianjin 300350, China

^*Contact author: yangmengnan@tju.edu.cn
^†Contact author: lgy20020926@tju.edu.cn
^‡Contact author: mrhonglu@gmail.com

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Phys. Rev. Lett. 136, 251403 – Published 23 June, 2026

DOI: https://doi.org/10.1103/w25x-6948

Abstract

We consider the string-theory-inspired Einstein-Maxwell-Maxwell-dilaton theory and show that we can derive the complete set of thermodynamic quantities of charged black holes without having to construct the black hole solutions. We argue that the technique can be applied more broadly to string theories, providing an accessible method for determining the thermodynamic properties of large classes of black holes for which exact solutions are typically unavailable.

Physical Review Letters

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