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Mapping the weak field limit of scalar-Gauss-Bonnet gravity

Benjamin Elder* and Jeremy Sakstein†

  • Department of Physics and Astronomy, University of Hawai’i, 2505 Correa Road, Honolulu, Hawaii 96822, USA

  • *bcelder@hawaii.edu
  • †sakstein@hawaii.edu
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Phys. Rev. D 107, 044006 – Published 2 February, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.044006

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 parametrized post-Newtonian corrections sufficiently close to the source. We use this to improve on laboratory constraints on the scalar-Gauss-Bonnet coupling parameter Λ by a factor of 3. Present laboratory and Solar System bounds reported here are superseded by tests deriving from black holes.

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Information

Phys. Rev. D 107, 044006– Published 2 February, 2023
  • Received 20 October 2022
  • Accepted 29 December 2022
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