# Massive Dual Spin 2 Revisited

## TL;DR

This paper revisits a massive dual spin 2 field theory in four dimensions, deriving its Lagrangian, exploring static solutions, and establishing its exact duality with the Ogievetsky-Polubarinov model.

## Contribution

It provides a detailed formulation of the dual spin 2 theory, finds static solutions, and proves its exact duality with a known massive spin 2 model.

## Key findings

- Derived the Lagrangian for the dual spin 2 field.
- Found static solutions for the dual field.
- Established the exact duality with the Ogievetsky-Polubarinov model.

## Abstract

We reconsider a massive dual spin 2 field theory in four spacetime dimensions. We obtain the Lagrangian that describes the lowest order coupling of the field to the four-dimensional curl of its own energy-momentum tensor. We then find some static solutions for the dual field produced by other energy-momentum sources and we compare these to similar static solutions for non-dual "finite range" gravity. Finally, through use of a nonlinear field redefinition, we show the theory is the exact dual of the Ogievetsky-Polubarinov model for a massive spin 2 field.