We obtain a generally covariant conservation law of energy momentum for gravitational anyons by the general displacement transform. The energymomentum currents have also superpotentials and are therefore identically conserved. It is shown that for Deser’s solution and Clément’s solution, the energy vanishes. The reasonableness of the definition of energy-momentum may be confirmed by the solutio...

The holographic description in the presence of gravitational Chern-Simons term is studied. The modified gravitational equations are integrated by using the FeffermanGraham expansion and the holographic stress-energy tensor is identified. The stressenergy tensor has both conformal anomaly and gravitational or, if re-formulated in terms of the zweibein, Lorentz anomaly. We comment on the structur...

The gravitational analog of the electromagnetic Poynting vector is constructed using the field equations of general relativity in the Hilbert gauge. It is found that when the gravitational Poynting vector is applied to the solution of the linear mass quadrupole oscillator, the correct gravitational quadrupole radiation flux is obtained. Further to this, the Maxwell-like gravitational Poynting v...

We propose that for non-localizable energy distribution the relevant energy condition is determined by the gravitational field energy which is negative for positive non-gravitational energy. That is negativity of the non-localized energy is the ”positive” energy condition. This would have direct application and relevance for a black hole on the brane which would be sitting in a trace free stres...

The failure to calculate the vacuum energy is a central problem in theoretical physics. Presumably arises from insistent use of effective field theory reasoning context that well beyond its intended scope. If one follows this path, led inevitably statistical or anthropic for observations. It appears more palatable resolution requires some form UV/IR feedback. In paper we take point view such fe...

The conservation law of energy-momentum (or the definition of energy-momentum density) for the gravitational field is one of the most fundamental and controversial problems in general relativity. As a true field, it would be natural to expect that gravity should has its own local energy-momentum density. However, it is usually asserted that such a density can not be locally defined because of t...