Generalized geometry and non-symmetric gravity

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.

Keywords

• Generalized geometry
• Koszul formula
• Non-symmetric metric
• Torsion connection