Skip to content
DraconiticResearch
Search Sources API
206,690 studies31 sourcesUpdated 35 min ago
PreprintarXiv licencearXiv

Zeroth law of black hole mechanics in general Horndeski theories

  • Ribhu Paul
  • Krishnakanta Bhattacharya
Open at sourcePDFDOICite

Abstract

We investigate the validity of the zeroth law in the general class of scalar-tensor theories with second-order field equations, namely Horndeski theories or generalized Galileon theories in four-dimensional spacetime. Assuming that the non-minimally coupled scalar field inherits the spacetime symmetries, we show that the horizon mixed projection of the field equations implies constant surface gravity on a stationary Killing horizon. Our analysis incorporates the most generic non-minimal scalar couplings permitted within the Horndeski framework, which we consider as a perturbative expansion about general relativity. Our results therefore classify the possible cases within this framework of proof for different classes of scalar-tensor theories, including shift-symmetric scalar fields. These results extend the applicability of black hole mechanics beyond Einstein gravity and provide further evidence for the thermodynamic consistency of general Horndeski theories.

Related

  1. Axial black hole perturbations in purely-metric Horndeski theories
    Héloïse Delaporte, Hugo Roussille
    arXivPreprintCC BY-NC-SA 4.0Full textGravitation & general relativityarXiv
  2. A New Approach to Black Hole Thermodynamics in General EMD-like Theories
    Peng-Yu Wu, H. Lu
    arXivPreprintarXiv licenceFull textGravitation & general relativityHigh-energy & particle physicsarXiv
  3. Perturbations and stability of black holes with static scalar hair in general GLPV theories
    Petarpa Boonserm, Antonio De Felice, Ratchaphat Nakarachinda +2
    arXivPreprintCC BY 4.0Full textGravitation & general relativityHigh-energy & particle physicsarXiv
  4. Rational Orbits and Gravitational-Wave Signatures around a Horndeski Black Hole
    Wei Gao, Xiaoyan Zhu, Wenbin Lin +1
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv
  5. Nonreciprocal black holes with primary hair in beyond Horndeski gravity: Exact solutions and stability
    Sebastian Bahamonde, Theodoros Nakas, Simon Iteanu
    HALPreprintarXiv licenceFull textHigh-energy astrophysicsGravitation & general relativityHALarXiv

Cite

BibTeXRIS
BibTeX
@misc{paul2026zeroth,
  title = {{Zeroth law of black hole mechanics in general Horndeski theories}},
  author = {Ribhu Paul and Krishnakanta Bhattacharya},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.09984},
  eprint = {2611.09984},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.09984},
}
RIS
TY  - UNPB
TI  - Zeroth law of black hole mechanics in general Horndeski theories
AU  - Ribhu Paul
AU  - Krishnakanta Bhattacharya
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.09984
UR  - https://arxiv.org/abs/2611.09984
AB  - We investigate the validity of the zeroth law in the general class of scalar-tensor theories with second-order field equations, namely Horndeski theories or generalized Galileon theories in four-dimensional spacetime. Assuming that the non-minimally coupled scalar field inherits the spacetime symmetries, we show that the horizon mixed projection of the field equations implies constant surface gravity on a stationary Killing horizon. Our analysis incorporates the most generic non-minimal scalar couplings permitted within the Horndeski framework, which we consider as a perturbative expansion about general relativity. Our results therefore classify the possible cases within this framework of proof for different classes of scalar-tensor theories, including shift-symmetric scalar fields. These results extend the applicability of black hole mechanics beyond Einstein gravity and provide further evidence for the thermodynamic consistency of general Horndeski theories.
ER  -