Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: C-Functions in Lovelock Gravity   We present C-functions for static and spherically symmetric spacetimes in
Lovelock gravity theories. These functions are monotonically increasing
functions of the outward radial coordinate and acquire their minima when
evaluated on the horizon. Unlike the case of Einstein gravity, where there is a
single C-function, we find that this function is non-unique in the case of
Lovelock gravity. We define two C-functions, which agree at the horizon giving
the black hole entropy, and state the different energy conditions that must
hold in order for these functions to satisfy the monotonicity condition.

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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex