English

Spherically symmetric solution in quadratic non-metricity gravity

General Relativity and Quantum Cosmology 2025-08-05 v1 High Energy Physics - Theory

Abstract

We explicitly find an exact spherically symmetric solution in quadratic non-metricity gravity. We show that the quadratic term acts as a cosmological constant. This solution contradicts all the claims in the literature that there is no spherically symmetric solution for higher-order non-metricity gravity. Moreover, we demonstrate that for the charged field equations, the solution can be identical to the non-charged case. This is because the off-diagonal components of the field equation do not feel the effect of the charge.

Keywords

Cite

@article{arxiv.2508.00958,
  title  = {Spherically symmetric solution in quadratic non-metricity gravity},
  author = {G. G. L. Nashed and Kazuharu Bamba},
  journal= {arXiv preprint arXiv:2508.00958},
  year   = {2025}
}

Comments

7 pages

R2 v1 2026-07-01T04:30:04.241Z