Unimodular metagravity vs. General Relativity with a scalar field

TL;DR

This paper compares unimodular metagravity with a scalar field to General Relativity, introducing a new graviscalar black hole solution and exploring its implications for dark matter and cosmic objects.

Contribution

It presents a novel exact solution for a graviscalar black hole within unimodular metagravity and analyzes its differences from GR with scalar fields.

Findings

Introduction of a new graviscalar black hole solution

Differences between unimodular metagravity and GR with scalar fields

Discussion on the role of graviscalar as dark matter

Abstract

The unimodular metagravity, with the graviscalar as a dark matter, is compared with General Relativity (GR) in the presence of a scalar field. The effect of the graviscalar on the static spherically symmetric metric is studied. An exact limit solution representing a new cosmic object, the (harmonic) graviscalar black hole, is given. The relation with the black hole in the environment of a scalar field in GR is discussed.