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An asymptotically conical regular black hole in four-dimensional nonpolynomial quasitopological gravity

Abstract

In this work, we construct an asymptotically conical regular black hole in four-dimensional nonpolynomial quasitopological gravity. Starting from a linear choice of the reduced function, which yields an asymptotically conical Schwarzschild-like solution, we introduce a nonlinear deformation that preserves the leading asymptotic cone while producing an exact black hole solution with a de Sitter core and finite curvature invariants. We further establish the corresponding black hole thermodynamics for both solutions within the Hamiltonian and Wald frameworks. The entropy contains rational and logarithmic terms in the regular model, and both solutions satisfy the first law of black hole thermodynamics.

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BibTeX
@misc{liu2026asymptotically,
  title = {{An asymptotically conical regular black hole in four-dimensional nonpolynomial quasitopological gravity}},
  author = {Jia-Zhou Liu and Shao-Wen Wei and Yu-Xiao Liu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35248},
  eprint = {2610.35248},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35248},
}
RIS
TY  - UNPB
TI  - An asymptotically conical regular black hole in four-dimensional nonpolynomial quasitopological gravity
AU  - Jia-Zhou Liu
AU  - Shao-Wen Wei
AU  - Yu-Xiao Liu
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.35248
UR  - https://arxiv.org/abs/2610.35248
AB  - In this work, we construct an asymptotically conical regular black hole in four-dimensional nonpolynomial quasitopological gravity. Starting from a linear choice of the reduced function, which yields an asymptotically conical Schwarzschild-like solution, we introduce a nonlinear deformation that preserves the leading asymptotic cone while producing an exact black hole solution with a de Sitter core and finite curvature invariants. We further establish the corresponding black hole thermodynamics for both solutions within the Hamiltonian and Wald frameworks. The entropy contains rational and logarithmic terms in the regular model, and both solutions satisfy the first law of black hole thermodynamics.
ER  -