On the energy transported by exact plane gravitational-wave solutions

Abstract

The energy and momentum transported by exact plane gravitational-wave solutions of Einstein equations are computed using the teleparallel equivalent formulation of Einstein's theory. It is shown that these waves transport neither energy nor momentum. A comparison with the usual linear plane gravitational-waves solution of the linearized Einstein equation is presented.

15 pages, Revtex, no figures, to appear in Class. Quantum Grav

References in corpus (6)

• Regularizing role of teleparallelism
• Covariance properties and regularization of conserved currents in tetrad gravity
• Quadratic metric-affine gravity
• PP-waves with torsion and metric-affine gravity
• Conserved currents in gravitational models with quasi-invariant Lagrangians: Application to teleparallel gravity
• The Nonlinear Essence of Gravitational Waves

Cited by in corpus (8)

• Energy and momentum of a spherically symmetric dilaton frame as regularized by teleparallel gravity
• A brief history of gravitational wave research
• Linearized Gravitational Waves in Nonlocal General Relativity
• Energy of spherically symmetric spacetimes on regularizing teleparallelism
• The generalization of the ADM gravitational energy-momentum
• The equivalence principle for a plane gravitational wave in torsion based and non-metricity based teleparallel equivalents of general relativity
• The meaning of torsion in teleparallel theories
• Elliptically Polarized Plane Gravitational Waves