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Exact black hole solutions with semi-symmetric vectorial torsion

  • Lehel Csillag
  • Tiberiu Harko
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Abstract

Semi-Symmetric metric gravity extends general relativity by introducing a semi-symmetric connection with vectorial torsion. The modified field equations contain extra contributions from the torsion vector and its derivatives. Assuming a purely radial torsion vector consistent with spherical symmetry, we derive two exact vacuum solutions. The metric depends on two integration constants, defining the Schwarzschild radius and a new cosmological-type length scale. Classical Solar System tests, including perihelion precession, light deflection, and radar echo delay, are used to constrain the new length scale and the associated deviations from general relativity. The thermodynamic properties of the resulting black hole solutions are investigated, and it is shown that the vector perturbation sector is linearly stable.

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Cite

BibTeXRIS
BibTeX
@misc{csillag2026exact,
  title = {{Exact black hole solutions with semi-symmetric vectorial torsion}},
  author = {Lehel Csillag and Tiberiu Harko},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.17098},
  eprint = {2608.17098},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.17098},
}
RIS
TY  - UNPB
TI  - Exact black hole solutions with semi-symmetric vectorial torsion
AU  - Lehel Csillag
AU  - Tiberiu Harko
PY  - 2026
DA  - 2026/08/17
PB  - arXiv
DO  - 10.48550/arxiv.2608.17098
UR  - https://arxiv.org/abs/2608.17098
AB  - Semi-Symmetric metric gravity extends general relativity by introducing a semi-symmetric connection with vectorial torsion. The modified field equations contain extra contributions from the torsion vector and its derivatives. Assuming a purely radial torsion vector consistent with spherical symmetry, we derive two exact vacuum solutions. The metric depends on two integration constants, defining the Schwarzschild radius and a new cosmological-type length scale. Classical Solar System tests, including perihelion precession, light deflection, and radar echo delay, are used to constrain the new length scale and the associated deviations from general relativity. The thermodynamic properties of the resulting black hole solutions are investigated, and it is shown that the vector perturbation sector is linearly stable.
ER  -