A class of static spherically symmetric solutions in $f(Q)$-gravity

Lorenzo Sebastiani; Marco Calz\'a

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arxiv 2208.13033 v3 pith:LH5VO654 submitted 2022-08-27 gr-qc

A class of static spherically symmetric solutions in f(Q)-gravity

Marco Calz\'a , Lorenzo Sebastiani This is my paper

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keywords solutionsclassgravitysphericallystaticsymmetricanalyzeansatz

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We analyze a class of topological static spherically symmetric vacuum solutions in $f(Q)$-gravity. We considered an Ansatz ensuring that those solutions trivially satisfy the field equations of the theory when the non-metricity scalar is constant. In the specific, we provide and discuss local solutions in the form of black holes and traversable wormholes.

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Static plane symmetric solutions in $f(Q)$ gravity
gr-qc 2025-12 unverdicted novelty 5.0

f(Q) gravity yields Taub-de Sitter-like plane symmetric vacuum solutions, and quadratic models support isotropic slabs where maximum pressure is offset from the center with thickness and pressure increasing for negative α.