Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Branes, moduli spaces and smooth transition from big crunch to big bang   We consider branes $N$ in a Schwarzschild-$\text{AdS}_{(n+2)}$ bulk, where
the stress energy tensor is dominated by the energy density of a scalar fields
map $\f:N\ra \mc S$ with potential $V$, where $\mc S$ is a semi-Riemannian
moduli space. By transforming the field equation appropriately, we get an
equivalent field equation that is smooth across the singularity $r=0$, and
which has smooth and uniquely determined solutions which exist across the
singularity in an interval $(-\e,\e)$. Restricting a solution to $(-\e,0)$
\resp $(0,\e)$, and assuming $n$ odd, we obtain branes $N$ \resp $\hat N$ which
together form a smooth hypersurface. Thus a smooth transition from big crunch
to big bang is possible both geometrically as well as physically.

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The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: cs