Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second Order Perturbations of Kerr Black Holes: Reconstruction of the
  Metric   Motivated by gravitational wave observations of binary black hole mergers, we
present a procedure to compute the leading order nonlinear gravitational wave
interactions around a Kerr black hole. We describe the formalism used to derive
the equations for second order perturbations. We develop a procedure that
allows us to reconstruct the first order metric perturbation solely from
knowledge of the solution to the first order Teukolsky equation, without the
need of Hertz potentials. Finally, we illustrate this metric reconstruction
procedure in the asymptotic limit for the first order quasi-normal modes of
Kerr. In a companion paper, we present a numerical implementation of these
ideas.

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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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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: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph