Scalar-Connection Gravity and Spontaneous Scalarization
Abstract
Scalar-tensor theories of gravity are known to allow significant deviations from general relativity through various astrophysical phenomena. In this paper, we formulate a scalar-connection gravity by setting up scalars and connection configurations instead of metric. Since the matter sector is not straightforward to conceive without a metric, we invoke cosmological fluids in terms of their one-form velocity in the volume element of the invariant action. This leads to gravitational equations with a perfect fluid source and a generated metric, which are expected to produce reasonable deviations from general relativity in the strong-field regime. As a relevant application, we study spontaneous scalarization mechanism and show that the Damour-Esposito-Far\`{e}se model arises in a certain class of scalar-connection gravity. Furthermore, we investigate a general study in which the present framework becomes distinguishable from the famed scalar-tensor theories.
Cite
@article{arxiv.2012.04694,
title = {Scalar-Connection Gravity and Spontaneous Scalarization},
author = {Hemza Azri and Salah Nasri},
journal= {arXiv preprint arXiv:2012.04694},
year = {2021}
}