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Mapping the Weak-Field Limit of Scalar-Gauss-Bonnet Gravity

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arxiv 2210.10955 v1 pith:QZN6FNI2 submitted 2022-10-20 gr-qc astro-ph.CO

classification gr-qcastro-ph.CO
keywords scalar-gauss-bonnetaroundboundscylindricalexperimentsgravitylaboratorylimit
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We derive the weak field limit of scalar-Gauss-Bonnet theory and place novel bounds on the parameter space using terrestrial and space-based experiments. In order to analyze the theory in the context of a wide range of experiments, we compute the deviations from Einstein gravity around source masses with planar, cylindrical, and spherical symmetry. We find a correction to the Newtonian potential around spherical and cylindrical sources that can be larger than PPN corrections sufficiently close to the source. We use this to improve on laboratory constraints on the scalar-Gauss-Bonnet coupling parameter $\Lambda$ by two orders of magnitude. Present laboratory and Solar System bounds reported here are superseded by tests deriving from black holes.

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Cited by 1 Pith paper

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  1. On the analogue of Einstein-Gauss-Bonnet theory in 3+1 dimensions

    gr-qc 2025-05 conditional novelty 6.0 of 10

    The trace anomaly effective action reproduces Einstein-Gauss-Bonnet Friedmann equations and perturbation spectra on FRW backgrounds with a specific scalar field solution.

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