Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Separable wave equations for gravitoelectromagnetic perturbations of
  rotating charged black strings   Rotating charged black strings are solutions of four-dimensional
Einstein-Maxwell equations with a negative cosmological constant and a
non-trivial topology. According to the AdS/CFT correspondence, these black
strings are dual to rotating thermal states of a strongly interacting field
theory with nonzero chemical potential that lives in a cylinder. The dynamics
of fluctuations in the field theory can be studied from the perturbation
equations for classical fields in a black-string spacetime. With this
motivation in mind, we develop here a completely gauge and tetrad invariant
perturbation approach to deal with the gravitoelectromagnetic fluctuations of
rotating charged black strings in the presence of sources. As usual, for any
charged black hole, a perturbation in the background electromagnetic field
induces a metric perturbation and vice versa. In spite of this coupling and the
non-vanishing angular momentum, we show that linearization of equations of the
Newman-Penrose formalism leads to four separated second-order complex equations
for suitable combinations of the spin coefficients, the Weyl and the Maxwell
scalars. Then, we generalize the Chandrasekhar transformation theory by the
inclusion of sources and apply it to reduce the perturbation problem to four
decoupled inhomogeneous wave equations --- a pair for each sector of
perturbations. The radial part of such wave equations can be put into
Schrodinger-like forms after Fourier transforming them with respect to time. We
find that the resulting effective potentials form two pairs of supersymmetric
partner potentials and, as a consequence, the fundamental variables of one
perturbation sector are related to the variables of the other sector. The
relevance of such a symmetry in connection to the AdS/CFT correspondence is
discussed, and future applications of the pertubation theory developed here are
outlined.

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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph