Localization of Energy-Momentum for a Black Hole Spacetime Geometry with Constant Topological Euler Density
arXiv:1807.00300
Abstract
The evaluation of the energy-momentum distribution for a new four-dimensional, spherically symmetric, static and charged black hole spacetime geometry with constant non-zero topological Euler density is performed by using the energy-momentum complexes of Einstein and Møller. This black hole solution was recently developed in the context of the coupled Einstein--non-linear electrodynamics of the Born-Infeld type. The energy is found to depend on the mass and the charge of the black hole, the cosmological constant and the radial coordinate , while in both prescriptions all the momenta vanish. Some limiting and particular cases are analyzed, illustrating the rather extraordinary character of the spacetime geometry considered.
arXiv comment15 pages, 2 figures. Present version accepted for publication in Advances in High Energy Physics
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