Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lovelock Branes   We study the problem of finding brane-like solutions to Lovelock gravity,
adopting a general approach to establish conditions that a lower dimensional
base metric must satisfy in order that a solution to a given Lovelock theory
can be constructed in one higher dimension. We find that for Lovelock theories
with generic values of the coupling constants, the Lovelock tensors (higher
curvature generalizations of the Einstein tensor) of the base metric must all
be proportional to the metric. Hence, allowed base metrics form a subclass of
Einstein metrics. This subclass includes so-called `universal metrics', which
have been previously investigated as solutions to quantum-corrected field
equations. For specially tuned values of the Lovelock couplings, we find that
the Lovelock tensors of the base metric need to satisfy fewer constraints. For
example, for Lovelock theories with a unique vacuum there is only a single such
constraint, a case previously identified in the literature, and brane solutions
can be straightforwardly constructed.

31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org