Erratum: The energy-momentum of plane-fronted gravitational waves in the teleparallel equivalent of GR [Phys. Rev. D78, 047502 (2008)]

Abstract

We show that in the framework of the teleparallel equivalent of general relativity the gravitational energy-momentum of plane-fronted gravitational waves contained in an arbitrary three-dimensional volume V may be easily obtained and is nonpositive in the frame of static observers.

Plane Gravitational Waves, the Kinetic Energy of Free Particles and the Memory Effect

“…We argue that such extraction of energy is consistent with the expression of the gravitational energy-momentum of plane-fronted gravitational waves calculated in Ref. [14], and might explain the propagation of waves with very slow dissipation in time.…”

On gravitational energy in conformal teleparallel gravity

“…Of course the two theories aren't perfectly interchangeable since tensorial expressions for energymomentum and angular momentum arise only in Teleparallel gravity. Particularly it has been used to calculate the energy of gravitational waves [9] and of an homogeneous-isotropic Universe [10], it was also used to study quantum gravity [11]. We suggest [12] and references therein for a great review on the subject.…”

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

“…The non-vanishing components of the gravitational energy-momentum vector P a of plane-fronted gravitational waves have been calculated in Ref. [3]. However, we present them here to compare their values with those obtained for linearised gravitational waves.…”