Phys.Rev.D, 111, 104026 (2025)
Quadratic curvature correction and its breakdown to thermodynamics of rotating black holes
Peng-Yu Wu1 and Hong Lu1,2
1 Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.
2 Joint School of National University of Singapore and Tianjin University, International Campus of Tianjin University, Binhai New City, Fuzhou 350207, China.
* wupy2023@tju.edu.cn, mrhonglu@gmail.com
Abstract
We adopt the Reall-Santos method to obtain the quadratic curvature corrections to the thermodynamics of Myers-Perry rotating black holes in diverse dimensions. We consider the corrections in canonical and grand canonical ensembles, and also for fixed mass and angular momenta. We find that there exist inevitable divergences for generic rotation parameters so that the perturbative approach breaks down. We present a simple and universal formula to determine where these divergences could arise, and argue, using an explicit example, that these divergences could be an artefact of perturbation and might not exist in the full nonlinear theory.
