Generic Scalar Potentials in Geometric Scalar Gravity

Abstract

We discuss a generic form of the scalar potential appearing in the geometric scalar theory of gravity. We find the conditions on the potential by considering weak and strong gravity. The modified black hole solutions are obtained for generic potentials and the inverse problems on a black hole and on a spherical body (`pseudo-gravastar') are investigated.

19 pages, 6 figures. Note added, references added, discussion improved

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Cited by in corpus (5)

• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Recovering a MOND-like acceleration law in mimetic gravity
• On variations of $G$ in the geometric scalar theory of gravity
• GR-GSG Hybrid Gravity