Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Born-Infeld Black Holes in (A)dS Spaces   We study some exact solutions in a $D(\ge4)$-dimensional Einstein-Born-Infeld
theory with a cosmological constant. These solutions are asymptotically de
Sitter or anti-de Sitter, depending on the sign of the cosmological constant.
Black hole horizon and cosmological horizon in these spacetimes can be a
positive, zero or negative constant curvature hypersurface. We discuss the
thermodynamics associated with black hole horizon and cosmological horizon. In
particular we find that for the Born-Infeld black holes with Ricci flat or
hyperbolic horizon in AdS space, they are always thermodynamically stable, and
that for the case with a positive constant curvature, there is a critical value
for the Born-Infeld parameter, above which the black hole is also always
thermodynamically stable, and below which a unstable black hole phase appears.
In addition, we show that although the Born-Infeld electrodynamics is
non-linear, both black hole horizon entropy and cosmological horizon entropy
can be expressed in terms of the Cardy-Verlinde formula. We also find a
factorized solution in the Einstein-Born-Infeld theory, which is a direct
product of two constant curvature spaces: one is a two-dimensional de Sitter or
anti-de Sitter space, the other is a ($D-2$)-dimensional positive, zero or
negative constant curvature space.

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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: econ