On the new version of Generalized Zwei-Dreibein Gravity

TL;DR

This paper introduces a generalized Zwei-Dreibein Gravity model with an added Chern-Simons term, revealing three massive graviton modes and providing an AdS wave solution, thus expanding the understanding of three-dimensional gravity theories.

Contribution

It presents a new generalized Zwei-Dreibein Gravity model with an additional Chern-Simons term, increasing the local degrees of freedom to three massive gravitons, unlike the standard model.

Findings

The model has 3 propagating massive graviton modes.

Hamiltonian analysis confirms the degrees of freedom.

An AdS wave solution is derived for the model.

Abstract

In this paper we consider a generalization of zwei-dreibein gravity with a chern-Simons term associated to a constraint term which fixed the torsion. We count the local degrees of freedom of this model using Hamiltonian analysis and show that in contrast to the usual GZDG which has 2 bulk local degrees of freedom, our model has 3 propagating modes. Then by looking at the quadratic Lagrangian, we determine that these propagating modes are 3 massive graviton with different masses. Finally we obtain AdS wave solution as an example solution for this model.