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Gravito-magnetic Polarization of Schwarzschild Black Hole
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We determine the gravito-magnetic Love numbers of non-rotating black holes in all spacetime dimensions through a novel and direct derivation. The Ishibashi- Kodama master field and its associated field equation are avoided. The matching to the EFT variables is simple. This method allows us to correct the values in the literature. Moreover, we highlight a parity-based selection rule for nonlinear terms that include both electric-type and magnetic-type gravitational field tensors, enabling us to conclude that many of the nonlinear response coefficients in the Schwarzschild black hole effective action vanish.
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Cited by 3 Pith papers
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Love numbers of black p-branes: fine tuning, Love symmetries, and their geometrization
Scalar Love numbers of non-dilatonic black p-branes vanish for integer rescaled multipoles, extremal p-branes give exactly zero static Love numbers, and the hidden symmetries behind these vanishings become near-horizo...
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Dynamical Tidal Response of Schwarzschild Black Holes
The dynamical Love numbers of a Schwarzschild black hole are nonzero at quadratic order in frequency, run logarithmically with a coefficient set by dissipation, and are now matched including their finite, scheme-depen...
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On the logarithmic Love number of black holes beyond general relativity
Logarithmic black hole Love numbers are fixed directly by the Taylor coefficients of the perturbation equation, and perturbative deviations from Schwarzschild/Reissner-Nordström force non-zero running.
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