Isomorphism between Non-Riemannian gravity and Einstein-Proca-Weyl theories extended to a class of Scalar gravity theories

TL;DR

This paper extends the connection between Non-Riemannian gravity and Einstein-Proca-Weyl theories to Scalar gravity, providing a new black-hole solution with a non-Riemannian connection.

Contribution

It introduces a novel extension linking Non-Riemannian and Scalar gravity theories, including explicit solutions with black holes.

Findings

Established isomorphism between Non-Riemannian and Einstein-Proca-Weyl models

Presented a black-hole dilaton solution with non-Riemannian connection

Extended theoretical framework to scalar gravity theories

Abstract

We extend the recently proved relation between certain models of Non-Riemannian gravitation and Einstein- Proca-Weyl theories to a class of Scalar gravity theories. This is used to present a Black-Hole Dilaton solution with non-Riemannian connection.