Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness and energy bounds for static AdS metrics   We show that Wang's proof of uniqueness of Anti-de Sitter spacetime can be
adapted to provide uniqueness results for strictly static asymptotically
locally hyperbolic vacuum metrics with toroidal infinity, and to prove
negativity of the free energy $E-TS$ of asymptotically AdS black holes with
higher-genus horizons.

9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol