Spherically symmetric solution in quadratic non-metricity gravity

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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Publication Details

Journal
Physics Letters B
Published
2025-07-24
DOI
https://doi.org/10.1016/j.physletb.2025.139761
Citations
1
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
1.15

Funders

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article

Spherically symmetric solution in quadratic non-metricity gravity

GAMAL G. L. NASHED, Kazuharu Bamba
1 citations
Physics Letters B
Cosmology and Gravitation Theories
1.15
article

Spherically symmetric solution in quadratic non-metricity gravity

GAMAL G. L. NASHED, Kazuharu Bamba
article en
1 citations

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.

Physics Letters BVol. 868
British University in Egypt (EG), North-West University (ZA), Fukushima University (JP)
Fukushima University, Japan Society for the Promotion of Science
Openalex Percentile: Top 18%
Cosmology and Gravitation Theories
1.15
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Spherically symmetric solution in quadratic non-metricity gravity — GAMAL G. L. NASHED, Kazuharu Bamba · Physics Letters B (2025) | TGRS Research Map | TGRS