3D gravity with propagating torsion: Hamiltonian structure of the scalar sector

TL;DR

This paper analyzes the Hamiltonian structure of a 3D gravity model with propagating torsion, focusing on the scalar sector and identifying stable parameter regimes through linearization.

Contribution

It provides a detailed Hamiltonian analysis of the scalar sector in a 3D gravity model with torsion, revealing constraint bifurcation and stability conditions.

Findings

Constraint bifurcation observed in the scalar sector.

Stable parameter values identified via linearization.

Insights into the Hamiltonian structure of 3D gravity with torsion.

Abstract

We study the Hamiltonian structure of the general parity-invariant model of three-dimensional gravity with propagating torsion, with eight parameters in the Lagrangian. In the scalar sector, containing scalar or pseudoscalar modes with respect to maximally symmetric background, the phenomenon of constraint bifurcation is observed and analyzed. The stability of the Hamiltonian structure under linearization is used to identify dynamically acceptable values of parameters.