Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A static Einstein metric that generalizes the Schwarzschild metric   A static Einstein metric that generalizes the Schwarzschild metric is
considered. The event horizon is not necessarily a sphere and the term $dt\sp2$
is a function on such horizon. That the metric is Einstein establishes a
relation between its terms. One demonstrates that the scalar curvature of the
horizon is constant, and that the term $dt\sp2$ gives rise to (i) the metric of
the horizon being Einstein, or (ii) the scalar curvature of the horizon being
proportional to an eigenvalue of the Laplace operator.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg