On the Energy of Hořava–Lifshitz Black Holes

Abstract

In this paper we calculate the energy distribution of the Mu-in Park, KehagiasSfetsos and Lü, Mei and Pope black holes in the Hořava-Lifshitz theory of gravity. These black hole solutions correspond to the standard Einstein-Hilbert action in the infrared limit. For our calculations we use the Einstein and Møller prescriptions. Various limiting and particular cases are also discussed.

The Energy Distribution of Hořava-Lifshitz Black Hole Solutions

“…The results obtained for the energy distributions of these black hole solutions in the Hořava-Lifshitz theory make a completion of our previous study performed with the Einstein and Møller prescriptions [106] and support the usefulness of the pseudotensorial method for the evaluation of energy-momentum. In the future, it is worthwhile to investigate the connections between the results obtained for energy-momentum localization in Einstein gravity and Hořava-Lifshitz theory of gravity for other gravitational backgrounds.…”

“…We conclude that in the case of the Kehagias-Sfetsos black hole for large r both the Landau-Lifshitz and Weinberg definitions yield the same expression for energy distribution E = M that in the context of general relativity is the ADM mass. Figure 1 indicates that the value of the energy E, in the case of the Kehagias-Sfetsos black hole solution, is increasing with w for a fixed value of M. In our previous work [106] we have obtained the same expression for the energy distribution of the Kehagias-Sfetsos gravitational background in the Einstein and Møller definitions.…”

The energy of the universe in the Bianchi type-II cosmological model

“…Furthermore, there have been several studies aimed at uncovering the total energy of the cosmological model by using quasilocal energy-momentum [15,16,17,18] and energy-momentum pseudotensor [19,20,21,22,23]. homogeneous universes [24].…”

Localization of Energy-Momentum for a Black Hole Spacetime Geometry with Constant Topological Euler Density

“…To perform our study we use the Einstein and Møller energy-momentum complexes. The calculations provide the well-defined expressions (26) and (29) for the energy distribution in both prescriptions. These energy distributions depend on the mass M and the charge q of the black hole, the cosmological constant Λ and the radial coordinate r, while in both energy-momentum complexes all the momenta vanish.…”