Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Static Solutions for 4th order gravity   The Lichnerowicz and Israel theorems are extended to higher order theories of
gravity. In particular it is shown that Schwarzschild is the unique spherically
symmetric, static, asymptotically flat, black-hole solution, provided the
spatial curvature is less than the quantum gravity scale outside the horizon.
It is then shown that in the presence of matter (satisfying certain positivity
requirements), the only static and asymptotically flat solutions of General
Relativity that are also solutions of higher order gravity are the vacuum
solutions

14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg