Effective Levi-Civita Dilaton theory from Metric Affine Dilaton Gravity

TL;DR

This paper demonstrates how a Metric Affine Dilaton gravity theory can be simplified into an effective Riemannian Dilaton gravity model, extending a known theorem to include Dilaton fields.

Contribution

It introduces a method to reduce Metric Affine Dilaton gravity to an effective Riemannian form and generalizes a key theorem to Dilaton gravity.

Findings

Reduction of Metric Affine Dilaton gravity to Riemannian form

Generalization of Obukhov-Tucker-Wang theorem to Dilaton gravity

Framework for analyzing Dilaton gravity models

Abstract

We show how a Metric Affine theory of Dilaton gravity can be reduced to an effective Riemannian Dilaton gravity model. A simple generalization of the Obukhov-Tucker-Wang theorem to Dilaton gravity is then presented.