Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multipole moment and singular source in Newtonian gravity and in
  Einstein gravity   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 the same multipole integrals of the
source with the Schwarzschild spacetime, while they possess different multipole
moments.

35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ