Phys.Lett.B, 880, 140732 (2026)
Quadratic curvature correction to the Euclidean action of rotating AdS black holes in general dimensions
Si-yue Lu1 and Hong Lu1,2,*
1 The International Joint Institute of Tianjin University, Fuzhou, Tianjin University, Tianjin, 300072, China.
2 Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University, Tianjin, 300350, China.
* siyue lu@tju.edu.cn, mrhonglu@gmail.com
Abstract
We adopt the improved Reall-Santos method to obtain the leading-order perturbative cor rection of the quadratic curvature invariants to the on-shell Euclidean action of rotating anti-de Sitter (AdS) black holes in general D dimensions. The corresponding Gibbs free energy is a function of thermodynamic variables, temperature and angular velocities, which are unper turbed in this approach.