A Torsion-Driven Generalisation of Unimodular Gravity

TL;DR

This paper introduces a torsion-driven extension of unimodular gravity within an Einstein-Cartan-Kalb-Ramond framework, exploring how torsion influences cosmological models and modifies general relativity through emergent Riemannian geometry.

Contribution

It proposes a novel torsion-based generalization of unimodular gravity using Einstein-Cartan-Kalb-Ramond theory, expanding the understanding of gravity modifications via torsion effects.

Findings

Different cosmological scenarios emerge with torsion-inclusive geometries

Framework for modifying GR using emergent Riemannian geometry

Torsion-driven dynamics offer alternative explanations to curvature-based models

Abstract

We present an Einstein Cartan Kalb Ramond model that yields a generalisation of unimodular gravity in which the dynamics are driven by torsion rather than curvature. Using a simple ansatz, we discuss how different possible cosmological scenarios can arise on considering geometries that include torsion tensors and provide a framework for modifying GR using Emergent Reimann Geometry.