Exact Hairy Black Holes in Higher-Curvature Scalar--Tensor Gravity

@misc{wu2026exact,
  title = {{Exact Hairy Black Holes in Higher-Curvature Scalar--Tensor Gravity}},
  author = {Tianhao Wu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17679},
  eprint = {2609.17679},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17679},
}

TY  - UNPB
TI  - Exact Hairy Black Holes in Higher-Curvature Scalar--Tensor Gravity
AU  - Tianhao Wu
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.17679
UR  - https://arxiv.org/abs/2609.17679
AB  - We construct exact hairy black holes in Lovelock--Horndeski gravity and establish a relation between horizon topology, scalar hair and covariant charges. Rooted in the dimensional reduction of higher-curvature gravity, this framework connects scalar--tensor dynamics to the low-energy description of heterotic strings. In five dimensions, a single fixed theory admits a continuous planar family and two isolated hyperbolic black holes. The hyperbolic solutions share a locally AdS metric with distinct scalar dressings, while the planar family is Weyl curved and has a freely varying horizon scale. Both branches carry scalar hair regular on the future horizon. The hyperbolic construction extends above four dimensions; compatibility of the displayed planar profile selects five and seven dimensions. Time translations of the scalar act through a global shift, which enters the complete covariant charge balance. Along the planar family, a changing bulk shift-charge density supplies this balance despite zero radial flux and vanishing horizon charge variation. The hyperbolic roots admit no horizon-scale variation at fixed couplings.
ER  -