The main purpose of the present paper is to explicitly verify the consistency of the energy-momentum and angular momentum tensor of the gravitational field established in the Hamiltonian structure of the Teleparallel Equivalent of General Relativity (TEGR). In order to reach these objectives, we obtained the total energy and angular momentum (matter plus gravitational field) of the closed unive...

We present a completely gauge invariant treatment of the energy carried by a gravitational fluctuation in a general curved background. Via a varia-tional principle we construct an energy-momentum tensor for gravitational fluctuations whose covariant conservation condition is gauge invariant. With contraction of this energy-momentum tensor with a Killing vector of the background allowing us to c...

We find the expectation value of the energy-momentum tensor in the CFT corresponding to a moving black hole in AdS. Boosting the black hole to the speed of light, keeping the total energy fixed, yields a gravitational shock wave in AdS. The analogous procedure on the field theory side leads to “light cone” states, i.e., states with energy-momentum tensor localized on the light cone. The corresp...

It is generally assumed that the physical vacuum of particle physics should be characterized by an energy momentum tensor in such a way to preserve exact Lorentz invariance. On the other hand, if the ground state were characterized by its energy-momentum vector , with zero spatial momentum and a non-zero energy, the vacuum would represent a preferred frame. Since both theoretical approaches hav...

Null dust is a model for the incoherent superposition of waves with random polarizations and phases, moving in a single direction with the speed of light. It also describes the high frequency (geometrical optics) approximation for any type (including gravitational) radiation. Null dust is characterized by the energy-momentum tensor T ab = ρll. Neither the energy density ρ nor the null vector l ...

We provide for the first time a complete parametrization for the matrix elements of the generic asymmetric, non-local and gauge-invariant canonical energymomentum tensor, generalizing therefore former works on the symmetric, local and gaugeinvariant kinetic energy-momentum tensor also known as the Belinfante-Rosenfeld energymomentum tensor. We discuss in detail the various constraints imposed b...

The correspondence between the thermodynamic energy equation satisfied by a closed comoving volume and conservation energy-momentum tensor of matter inside is extended to more general system with an arbitrary cosmological horizon heat source. consisting internal could be conserved defining surface on horizons. Therefore, can always consistent for such system. On other hand, from perspective cla...

The obstruction for the existence of an energy momentum tensor for the gravitational field is connected with differential-geometric features of the Riemannian manifold. It has not to be valid for alternative geometrical structures. A teleparallel manifold is defined as a parallelizable differentiable 4D-manifold endowed with a class of smooth coframe fields related by global Lorentz, i.e., SO(1...