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In a recent paper (arXiv:1410.0694) Zilh\~ao, Cardoso, Herdeiro, Lehner, and Sperhake have studied the nonlinear stability of Kerr-Newman black holes.
S. A. Teukolsky and W. H. Press, Astrophys. J. 193
1974
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S. Chandrasekhar, The mathematical theory of black holes
1985
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2008
Cited alongside, same era.
We use natural units in which G = c = ℏ = 1 G=c=\hbar=1
Cited in the paper.
Here M , M a , Q M,Ma,Q , and r + = M ± ( M 2 − a 2 − Q 2 ) 1 / 2 r_{+}=M\pm(M^{2}-a^{2}-Q^{2})^{1/2} are respectively the mass, angular momentum, charge, and horizon-radii of the black hole
Cited in the paper.
The parameter δ \delta is closely related to the angular-eigenvalue λ \lambda of the angular Teukolsky equation, see [ 6 ] for details [see, in particular, equations (2.7) and (6.3) of [ 6 ] ]
Cited in the paper.
M. Zilhão, V. Cardoso, C. Herdeiro, L. Lehner, and U. Sperhake, arXiv:1410.0694
Cited in the paper.
On the other hand, the different overtones which compose the time-dependent gravitomagnetic signals are characterized by different
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2012
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