Logarithmic correction to the entropy of near-extremal higher-curvature black holes

@misc{bueno2026logarithmic,
  title = {{Logarithmic correction to the entropy of near-extremal higher-curvature black holes}},
  author = {Pablo Bueno and Pablo A. Cano and Robie A. Hennigar and Javier Moreno and Ángel J. Murcia and Guido van der Velde},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07801},
  eprint = {2609.07801},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07801},
}

TY  - UNPB
TI  - Logarithmic correction to the entropy of near-extremal higher-curvature black holes
AU  - Pablo Bueno
AU  - Pablo A. Cano
AU  - Robie A. Hennigar
AU  - Javier Moreno
AU  - Ángel J. Murcia
AU  - Guido van der Velde
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.07801
UR  - https://arxiv.org/abs/2609.07801
AB  - The spherically symmetric sector of broad classes of D-dimensional gravitational theories can be effectively described by general two-dimensional Horndeski theories. Exploiting this correspondence, we study the low-temperature dynamics of near-extremal black hole solutions of the parent theories by deriving a universal near-horizon effective description in terms of Jackiw--Teitelboim (JT) gravity. We explicitly show that the logarithmic quantum correction to the entropy, S_JT=3/2log (T/T_breakdown ), previously derived for near-extremal black holes in Einstein gravity coupled to matter from the one-loop exact JT partition function, is universal across all models admitting an effective two-dimensional Horndeski description. We determine the general form of the scale at which this correction becomes dominant, T_breakdown, in terms of the data of the D-dimensional theories. We illustrate our general results with charged black holes in Lovelock gravities and regular black holes in Quasitopological gravities.
ER  -