Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded Area Theorems for Higher Genus Black Holes   By a simple modification of Hawking's well-known topology theorems for black
hole horizons, we find lower bounds for the areas of smooth apparent horizons
and smooth cross-sections of stationary black hole event horizons of genus
$g>1$ in four dimensions. For a negatively curved Einstein space, the bound is
${{4\pi (g-1)}\over {-\ell}}$ where $\ell$ is the cosmological constant of the
spacetime. This is complementary to the known upper bound on the area of $g=0$
black holes in de Sitter spacetime. It also emerges that $g>1$ quite generally
requires a mean negative energy density on the horizon. The bound is sharp; we
show that it is saturated by certain extreme, asymptotically locally anti-de
Sitter spacetimes. Our results generalize a recent result of Gibbons.

12
The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: eess