Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superradiant stability of five and six-dimensional extremal
  Reissner-Nordstrom black holes   The superradiant stability of five and six-dimensional extremal
Reissner-Nordstrom black holes under charged massive scalar perturbation is
studied. In each case, it is analytically proved that the effective potential
experienced by the scalar perturbation has only one maximum outside the black
hole horizon and no potential well exists for the superradiance modes. So the
five and six-dimensional extremal Reissner-Nordstrom black holes are
superradiantly stable. In the proof, we develop a new method which is based on
the Descartes' rule of signs for the polynomial equations. Our results
generalize the previous study that four-dimensional extremal Reissner-Nordstrom
black hole is superradiantly stable under charged massive scalar perturbation.

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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
2
The categories of this paper are: math
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph