Generalized geometry and non-symmetric gravity

TL;DR

This paper explores how generalized geometry offers a systematic framework for non-symmetric metric gravity, connecting it to low-energy string theory and resulting in an Einstein-Kalb-Ramond gravity model with anti-symmetric contortion.

Contribution

It introduces a generalized geometric approach to non-symmetric gravity, linking it to string theory effective actions and deriving a specific Einstein-Kalb-Ramond gravity model.

Findings

Framework for non-symmetric metric gravity using generalized geometry

Connection between string theory low-energy actions and gravity models

Derivation of Einstein-Kalb-Ramond gravity with anti-symmetric contortion

Abstract

Generalized geometry provides the framework for a systematic approach to non-symmetric metric gravity theory and naturally leads to an Einstein-Kalb-Ramond gravity theory with totally anti-symmetric contortion. The approach is related to the study of the low-energy effective closed string gravity actions.