Massive Dual Gravity in N Spacetime Dimensions

TL;DR

This paper develops a field theory for massive dual gravity in N dimensions, providing a Lagrangian formulation, exploring classical solutions, and establishing duality with a generalized Ogievetsky-Polubarinov model.

Contribution

It introduces a novel Lagrangian for massive dual gravity in arbitrary N-dimensional spacetime and demonstrates its exact duality with a generalized existing model.

Findings

Derived a Lagrangian coupling the field to its energy-momentum tensor's curl

Analyzed classical solutions of the theory

Established duality with the generalized Ogievetsky-Polubarinov model

Abstract

We describe a field theory for "massive dual gravity" in N spacetime dimensions. We obtain a Lagrangian that gives the lowest order coupling of the field to the N-dimensional curl of its own energy-momentum tensor. We then briefly discuss classical solutions. Finally, we show the theory is the exact dual of the Ogievetsky-Polubarinov model generalized to any N.