Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Static spacetimes with prescribed multipole moments; a proof of a
  conjecture by Geroch   In this paper we give sufficient conditions on a sequence of multipole
moments for a static spacetime to exist with precisely these moments. The proof
is constructive in the sense that a metric having prescribed multipole moments
up to a given order can be calculated. Since these sufficient conditions agree
with already known necessary conditions, this completes the proof of a long
standing conjecture due to Geroch.

16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas