Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal Symmetries of the Einstein-Hilbert Action on Horizons of
  Stationary and Axisymmetric Black Holes   We suggest a way to study possible conformal symmetries on black hole
horizons. We do this by carrying out a Kaluza-Klein like reduction of the
Einstein-Hilbert action along the ignorable coordinates of stationary and
axisymmetric black holes. Rigid diffeomorphism invariance of the $m$-ignorable
coordinates then becomes a global $SL(m,R)$ gauge symmetry of the reduced
action. Related to each non-vanishing angular velocity there is a particular
$SL(2,R)$ subgroup, which can be extended to the Witt algebra on the black hole
horizons. The classical Einstein-Hilbert action thus has $k$-copies of infinite
dimensional conformal symmetries on a given black hole horizon, with $k$ being
the number of non-vanishing angular velocities of the black hole.

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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph