The angular momentum of plane-fronted gravitational waves in the teleparallel equivalent of general relativity

Abstract

We present a simplified expression for the gravitational angular momentum in the framework of the teleparallel equivalent of general relativity (TEGR). The expression arises from the constraints equations of the Hamiltonian formulation of the TEGR. We apply this expression to the calculation of the angular momentum of plane-fronted gravitational waves in an arbitrary three-dimensional volume $V$ of space and compare the results with those obtained for linearised gravitational waves.

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Cited by in corpus (5)

• Plane Gravitational Waves, the Kinetic Energy of Free Particles and the Memory Effect
• The Teleparallel Equivalent of General Relativity and the Gravitational Centre of Mass
• Variations of the Energy of Free Particles in the pp-Wave Spacetimes
• Tetrad Fields, Reference Frames, and the Gravitational Energy-Momentum in the Teleparallel Equivalent of General Relativity
• Energy-momentum and angular-momentum of a gyratonic pp-waves spacetime