Black holes and phase transitions in Conformal Gravity
Abstract
We explore the thermodynamic properties of static black holes in conformal gravities in arbitrary, even dimensions. In the spherically symmetric case, up to local Weyl rescalings, these spacetimes are static and unique, due to a Birkhoff's theorem that applies for all conformal gravities whose Lagrangians are complete contractions of k Weyl tensors in dimension D=2k. The solutions can be chosen to be asymptotically locally (A)dS or flat, and the horizon can be extended to be a surface of arbitrary constant curvature, γ. We focus on the asymptotically AdS case, for which the cosmological constant at infinity is an integration constant, and compute the mass of the spacetime in terms of the diverse hair parameters which have a purely gravitational origin. We show that the first law of thermodynamics is satisfied, and study phase transitions in the canonical ensemble, showing the existence of zeroth-order black-hole/black-hole phase transitions for arbitrary dimension.
Related
- Quasinormal modes of charged de Sitter black holes and strong cosmic censorship in conformal Killing gravity
- Partially Massless Condensates and Reentrant NUT/Bolt Phase Transitions in Conformal Gravity
- Quantum-corrected thermodynamics of Schwarzschild AdS black holes in conformal Killing gravity
- Phase transitions and quasinormal modes of Euler-Heisenberg-dilaton AdS black holes
- QCD and electroweak phase transitions with hidden scale invariance: implications for primordial black holes, quark-lepton nuggets and gravitational waves
BibTeX
@misc{guajardo2026black,
title = {{Black holes and phase transitions in Conformal Gravity}},
author = {Luis Guajardo and Luis Gutiérrez Frez and Seyed Naseh Sajadi and Julio Oliva},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.15737},
eprint = {2609.15737},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.15737},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Black holes and phase transitions in Conformal Gravity
AU - Luis Guajardo
AU - Luis Gutiérrez Frez
AU - Seyed Naseh Sajadi
AU - Julio Oliva
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.15737
UR - https://arxiv.org/abs/2609.15737
AB - We explore the thermodynamic properties of static black holes in conformal gravities in arbitrary, even dimensions. In the spherically symmetric case, up to local Weyl rescalings, these spacetimes are static and unique, due to a Birkhoff's theorem that applies for all conformal gravities whose Lagrangians are complete contractions of k Weyl tensors in dimension D=2k. The solutions can be chosen to be asymptotically locally (A)dS or flat, and the horizon can be extended to be a surface of arbitrary constant curvature, γ. We focus on the asymptotically AdS case, for which the cosmological constant at infinity is an integration constant, and compute the mass of the spacetime in terms of the diverse hair parameters which have a purely gravitational origin. We show that the first law of thermodynamics is satisfied, and study phase transitions in the canonical ensemble, showing the existence of zeroth-order black-hole/black-hole phase transitions for arbitrary dimension.
ER -