Energy–momentum distribution in general relativity for a phantom black hole metric

Using the Møller and Landau–Lifshitz energy–momentum definitions in general relativity, we evaluate the energy–momentum distribution of the phantom black hole space-time. The phantom black hole model was applied to the supermassive black hole at the Galactic Centre. In both the aforementioned pseudotensorial prescriptions, the energy distribution depends on the mass M of the black hole, the phantom constant p and the radial coordinate r. Further, all the calculated momenta are found to be zero. The limiting cases r→0, r→∞ and r→−∞ have also been the subject of the study. (author)