Quantum-corrected thermodynamics of Schwarzschild AdS black holes in conformal Killing gravity
Abstract
We study Schwarzschild--AdS black holes in conformal Killing gravity with non-perturbative entropy corrections within the extended phase-space formalism. By deriving the quantum-corrected heat capacity, Helmholtz free energy, internal energy, and Gibbs free energy, we show that quantum corrections modify phase transition points and thermal stability mainly at small horizon radii, while classical behavior is recovered for large black holes. Critical behavior of van der Waals type appears exclusively for positive values of the conformal Killing parameter a. Applying the island prescription, we find that the entanglement entropy of Hawking radiation saturates after the Page time at Ssat = 2(πrH2 + ηe−πrH2), thereby restoring unitarity. Stronger quantum corrections increase the entropy threshold and delay information recovery. Furthermore, we examine the universal thermodynamic relation in the extremal limit under a minimal perturbation of the AdS curvature radius. We prove that the quantum correction parameter η cancels out completely, yielding the robust universal combination U = −rext3 / l3. This demonstrates that the universal relation remains stable against non-perturbative quantum corrections to the entropy.
Related
- On-the-fly Estimation of Quantum-Corrected Thermodynamics in LAMMPS
- Thermodynamics of boosted Schwarzschild black holes
- Thermodynamics of boosted Schwarzschild black holes
- Distinguishing Dymnikova and Schwarzschild Black Holes through Gravitational Lensing with EFT-Corrected Photon Propagation
- Non conservative conformal Killing gravity: coupling the dark sector with curvature and matter
BibTeX
@misc{soroushfar2026quantumcorrected,
title = {{Quantum-corrected thermodynamics of Schwarzschild AdS black holes in conformal Killing gravity}},
author = {Saheb Soroushfar and Sayyed Mehrab Ramezani and Hoda Farahani and Saeed Noori Gashti and Behnam Pourhassan and Izzet Sakalli},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.16948},
eprint = {2608.16948},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.16948},
}
RIS
TY - UNPB
TI - Quantum-corrected thermodynamics of Schwarzschild AdS black holes in conformal Killing gravity
AU - Saheb Soroushfar
AU - Sayyed Mehrab Ramezani
AU - Hoda Farahani
AU - Saeed Noori Gashti
AU - Behnam Pourhassan
AU - Izzet Sakalli
PY - 2026
DA - 2026/09/19
PB - arXiv
DO - 10.48550/arxiv.2608.16948
UR - https://arxiv.org/abs/2608.16948
AB - We study Schwarzschild--AdS black holes in conformal Killing gravity with non-perturbative entropy corrections within the extended phase-space formalism. By deriving the quantum-corrected heat capacity, Helmholtz free energy, internal energy, and Gibbs free energy, we show that quantum corrections modify phase transition points and thermal stability mainly at small horizon radii, while classical behavior is recovered for large black holes. Critical behavior of van der Waals type appears exclusively for positive values of the conformal Killing parameter a. Applying the island prescription, we find that the entanglement entropy of Hawking radiation saturates after the Page time at S_sat = 2(πr_H^2 + ηe^−πr_H^2), thereby restoring unitarity. Stronger quantum corrections increase the entropy threshold and delay information recovery. Furthermore, we examine the universal thermodynamic relation in the extremal limit under a minimal perturbation of the AdS curvature radius. We prove that the quantum correction parameter η cancels out completely, yielding the robust universal combination U = −r_ext^3 / l^3. This demonstrates that the universal relation remains stable against non-perturbative quantum corrections to the entropy.
ER -