Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Birkhoff's Theorem in Lovelock Gravity for General Base Manifolds   We extend the Birkhoff's theorem in Lovelock gravity for arbitrary base
manifolds using an elementary method. In particular, it is shown that any
solution of the form of a warped product of a two-dimensional transverse space
and an arbitrary base manifold must be static. Moreover, the field equations
restrict the base manifold such that all the non-trivial intrinsic Lovelock
tensors of the base manifold are constants, which can be chosen arbitrarily,
and the metric in the transverse space is determined by a single function of a
spacelike coordinate which satisfies an algebraic equation involving the
constants characterizing the base manifold along with the coupling constants.

19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph