The angular momentum of the gravitational field and the Poincare group

Abstract

We redefine the gravitational angular momentum in the framework of the teleparallel equivalent of general relativity. In similarity to the gravitational energy-momentum, the new definition for the gravitational angular momentum is coordinate independent. By considering the Poisson brackets in the phase space of the theory, we find that the gravitational energy-momentum and angular momentum correspond to a representation of the Poincaré group. This result allows us to define Casimir type invariants for the gravitational field.

20 pages, no figures, accepted by Class. Quantum Gravity

References in corpus (1)

• Covariance properties and regularization of conserved currents in tetrad gravity

Cited by in corpus (13)

• The teleparallel equivalent of general relativity
• On reference frames in spacetime and gravitational energy in freely falling frames
• Charged Dilaton, Energy, Momentum and Angular-Momentum in Teleparallel Theory Equivalent to General Relativity
• Stationary Axisymmetric Solutions and their Energy Contents in Teleparallel Equivalent of Einstein Theory
• Hamiltonian formulation of unimodular gravity in the teleparallel geometry
• The Gravitational Energy Problem for Cosmological Models in Teleparallel Gravity
• Energy Contents of Some Well-Known Solutions in Teleparallel Gravity
• On the gravitational angular momentum of rotating sources
• On Teleparallel Quantum Gravity in Schwarzschild Space-Time
• Tetrad Fields, Reference Frames, and the Gravitational Energy-Momentum in the Teleparallel Equivalent of General Relativity
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Energy Contents of a Class of Regular Black Hole Solutions in Teleparallel Gravity
• Teleparallel formalism of galilean gravity