Scalar-Connection Gravity and Spontaneous Scalarization

TL;DR

This paper introduces a novel scalar-connection gravity framework that replaces the metric with scalars and connections, exploring deviations from general relativity and spontaneous scalarization phenomena.

Contribution

It formulates a new scalar-connection gravity theory and demonstrates how the Damour-Esposito-Farèse model emerges within this framework, highlighting differences from traditional scalar-tensor theories.

Findings

Derivation of gravitational equations with perfect fluid sources

Identification of conditions for spontaneous scalarization

Distinguishable features from standard scalar-tensor theories

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.