Spherically symmetric solution in quadratic non-metricity gravity

G. G. L. Nashed; Kazuharu Bamba

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arXiv · 2508.00958

Spherically symmetric solution in quadratic non-metricity gravity

G. G. L. Nashed·Kazuharu Bamba

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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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G. G. L. Nashed, Kazuharu Bamba. 2025-08-01. Spherically symmetric solution in quadratic non-metricity gravity. https://arxiv.org/abs/2508.00958

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