2+1 Gravity without dynamics

Abstract

A three dimensional generally covariant theory is described that has a 2+1 canonical decomposition in which the Hamiltonian constraint, which generates the dynamics, is absent. Physical observables for the theory are described and the classical and quantum theories are compared with ordinary 2+1 gravity.

9 pages

Cited by in corpus (5)

• General covariance, loops and matter
• Dynamical time and Ashtekar variables for the Husain-Kuchař model
• Consistent and non-consistent deformations of gravitational theories
• Hidden diffeos in the Hamiltonian formulation of a background independent field theory
• Hamilton-Jacobi analysis for three dimensional gravity without dynamics