Consistence of a GL(3,R) gauge formulation for topological massive gravity

TL;DR

This paper investigates a GL(3,R) gauge formulation of topological massive gravity in 2+1 dimensions, incorporating a Chern-Simons term, and demonstrates its consistency and causal excitations at the torsionless limit.

Contribution

It introduces a gauge-theoretic approach to topological massive gravity with a Chern-Simons term, showing consistency and recovery of standard models at the torsionless limit.

Findings

Excitations are causal in the gauge formulation.

Standard topological massive gravity is recovered at the torsionless limit.

The formulation is consistent with a cosmological contribution.

Abstract

We include a Chern-Simons term in a GL(3,R) gauge formulation of gravity with a cosmological contribution in 2+1 dimension and we explore consistence showing that excitations must be causal and standard topological massive gravity is recovered from this type of construction at the torsionless limit.