LAUSR

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 $$r\rightarrow 0$$ r → 0 , $$r\rightarrow \infty$$ r → ∞ and $$r\rightarrow -\infty$$ r → - ∞ have also been the subject of the study.