Black hole stereotyping: induced gravito-static polarization
By B. Kol, M. Smolkin. 2011
157 citations recorded by the source corpus.
A bstractWe discuss the black hole effective action and define its static subsector. We determine the induced gravito-static polarization constants (electric Love numbers) of static black holes (Schwarzschild) in an arbitrary dimension, namely the induced mass multipole as a result of an external gravitational field. We demonstrate that in 4d these constants vanish thereby settling a disagreement in the literature. Yet in higher dimensions these constants are non-vanishing, thereby disproving (at least in d > 4) speculations that black holes have no effective couplings beyond the point particle action. In particular, when l/(d−3) is half integral these constants demonstrate a (classical) renormalization flow consistent with the divergences of the effective field theory. In some other cases the constants are negative indicating a novel non-spherical instability. The theory of hypergeometric functions plays a central role.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/b5ea6f2be06ff397c3d1b23faffdc567e2d00630
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Citations in the corpus
- The Effective Field Theorist's Approach to Gravitational Dynamics (2016, methodology): “This was shown in [219] (for the electric-type) by explicitly performing the matching for the one-point function in a curved background as we discussed in sec.”
- The large D limit of General Relativity (2013, background): “[40] also notes that l̂ can be more relevant than l when D is regarded as a parameter.”
- The tune of love and the nature(ness) of spacetime (2016, background): “However, this is unfortunately (or fortunately) not reciprocal, since both the black hole’s electric- and magnetic-type Love numbers vanish, at the classical level [16–20].”
- Static response and Love numbers of Schwarzschild black holes (2020, methodology): “21) has precisely the same logarithmic term as in [45], but differs in the finite terms.”
- Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian (2016, background): “[53] showed how these subtleties are avoided in the case of nonrotating black holes.”
- Probing ultralight bosons with binary black holes (2018, background): “ct that for BHs the tidal response to an external eld vanishes in four-dimensional Einstein gravity.22 This is often parameterized in terms of the tidal Love numbers,23 which are zero for black holes [7,23,24,49,50], but may have sizable values for neutron stars [23,24] and other more exotic objects”