Phys.Rev.D, 110, 104068 (2024)
Taub-NUT black hole in higher derivative gravity and its thermodynamics
Yu-Qi Chen1, Hai-Shan Liu1 and Hong Lü1,2
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.
* yuqi_chen@tju.edu.cn, hsliu.zju@gmail.com, mrhonglu@gmail.com
Abstract
We construct the first-order perturbative Taub-Newman-Unti-Tamburino (Taub-NUT) black hole solutions in Einstein gravity extended with a cubic curvature invariant. The corrected thermodynamic quantities are then obtained by the standard method and the first law and Smarr relation are satisfied. We also study the perturbative correction to thermodynamics using the Reall-Santos (RS) method and verify that the method is still applicable even though the metrics are no longer asymptotic to Minkowski spacetime. We then apply the RS method to obtain the leading correction to the thermodynamics of the complicated Kerr-Taub-NUT black holes.
