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.
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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}
}
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7 pages