Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phenomenological Inclusion of Alternative Dispersion Relations to the
  Teukolsky Equation and its Application to Bounding the Graviton Mass with
  Gravitational-wave Measurements   Existing constraints on the graviton mass from gravitational-wave detections
rely on the phase difference developed between different frequencies during the
propagation. Effects on the quasinormal-mode frequencies of the black-hole
ringdown due to the graviton mass are often ignored. While perturbation
theories of black holes have been well developed in the context of general
relativity, this is not the case for modified gravity theories. We propose a
phenomenological modification to the Teukolsky equation of perturbed black
holes to include the dispersion relation due to a gravitational field of
nonzero mass. Solving this modified Teukolsky equation by logarithmic
perturbation theory, we compute the shift of the quasinormal-mode frequencies
due to the presence of a graviton mass. This hypothetical shift can be used to
constrain the graviton mass with ringdown signals, either standalone or in
conjunction with the phase difference accumulated due to the wave propagation.
We estimate that constraints on the graviton mass of $m_g \lesssim
10^{-15}\,\textrm{eV}$ can be put with a detection of the ringdown signal alone
by second generation gravitational-wave detectors.

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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: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: nlin