# Multipole moment and singular source in Newtonian gravity and in Einstein gravity

@inproceedings{Chen2021MultipoleMA, title={Multipole moment and singular source in Newtonian gravity and in Einstein gravity}, author={Yu-Zhu Chen and Yu-Jie Chen and Shi-Lin Li and Wu-Sheng Dai}, year={2021} }

: The multipole moments are deﬁned as the multipole expansion coeﬃcients of the gravitational ﬁeld at inﬁnity. In Newtonian gravity, the multipole moments are determined by the source distribution — the multipole integrals of the source. In this paper, we show that the multipole moments in general relativity cannot be determined by the multipole integrals of the source. We provide the multipole integrals in static axial spacetimes, such as, the Curzon spacetime. The Curzon spacetime possesses…

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