Energy-momentum and angular-momentum of a gyratonic pp-waves spacetime

Abstract

Gyratonic plane fronted gravitational waves are exact solutions of Einstein's field equations, which correspond to gravitational waves that carry momentum and angular-momentum. Using the definitions of the Hamiltonian formulation of the Teleparallel Equivalent of General Relativity, we explicitly evaluate the general expressions of the energy-momentum and angular-momentum of these space-times. In order to better understand the additional properties of these gravitational waves, we consider the motion of particles in this space-time and obtain an interesting relation between the angular-momentum of the particles and that of the gravitational waves.

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Cited by in corpus (2)

• Non-linear Plane Gravitational Waves as Space-time Defects
• On the Quantization of Burgers Vector and Gravitational Energy in the Space-Time of a Conical Defect