Generic Scalar Potentials in Geometric Scalar Gravity
Nahomi Kan (National Institute of Technology, Gifu College) and, Kiyoshi Shiraishi (Graduate School of Science, Engineering, Yamaguchi, University)

TL;DR
This paper explores the form of scalar potentials in geometric scalar gravity, deriving conditions under weak and strong gravity, and analyzing black hole solutions and inverse problems related to spherical bodies.
Contribution
It introduces a generic scalar potential framework in geometric scalar gravity and investigates black hole solutions and inverse problems within this context.
Findings
Derived conditions on scalar potentials for weak and strong gravity regimes.
Obtained modified black hole solutions for generic potentials.
Analyzed inverse problems related to black holes and spherical bodies.
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.
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