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We use the M{\o}ller and Landau-Lifshitz energy-momentum definitions inGeneral Relativity (GR) to evaluate the energy-momentum distribution of thephantom black hole space-time. The phantom black hole model was applied to thesupermassive black hole at the Galactic Centre. We obtain that in bothpseudotensorial 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\rightarrow \infty $ and $r\rightarrow -\infty $ have alsobeen the subject of the study.

Energy-Momentum Distribution in General Relativity for a Phantom Black Hole Metric