A teleparallel type theory for massless spin 2 fields

TL;DR

This paper develops a teleparallel type theory for massless spin 2 fields in flat space-time, providing Lagrangian and Hamiltonian formulations, inspired by teleparallel gravity and resembling Maxwell's electromagnetic theory.

Contribution

It introduces a novel teleparallel framework for massless spin 2 fields, with explicit formulations in flat space-time and insights into its potential extension to curved space-time.

Findings

The theory uses a symmetric tensor with two degrees of freedom.

It draws conceptual parallels with Maxwell's electromagnetic theory.

The formulations are developed in flat space-time, with straightforward extension to curved space.

Abstract

We present the Lagrangian and Hamiltonian formulations of a theory for spin 2 fields. The construction is developed in flat space-time. The construction in curved space-time is conceptually straightforward, although it is not unique. The theory is based on a symmetric tensor $S_{\mu\nu}$, contains two degrees of freedom of radiation, is motivated by the teleparallel formulation of general relativity, and displays a certain resemblance with Maxwell's theory for the electromagnetic field.