Phys.Rev.Lett. 136, 25, 251403 (2026)
Black Hole Thermodynamics without Black Hole Solutions
Mengnan Yang1, Guanyi Lu1 and Hong Lu2,1
1 Joint School of National University of Singapore and Tianjin University, International Campus of Tianjin University, Binhai New City, Fuzhou 350207, China.
2 Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.
* yangmengnan@tju.edu.cn, lgy20020926@tju.edu.cn, mrhonglu@gmail.com
Abstract
We consider the string-theory inspired Einstein-Maxwell-Maxwell-dilaton theory (EMMD) and show that we can derive the complete set of thermodynamic quantities of charged black holes, without having to solve for 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.
