Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Families of conformally related asymptotically flat, static vacuum data   Extending the results of an earlier article we give a complete description of
the asymptotically flat, conformally non-flat, static vacuum data which admit
non-trivial, asymptotically smooth conformal mappings onto other such data.
These data form a 3-parameter family which decomposes into 1-parameter families
of data which are conformal to each other. The data and the associated static
vacuum solutions are given explicitly in terms of elliptic and, in a special
case, elementary functions.

20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int