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Black hole stereotyping: induced gravito-static polarization
Open accessAbstract
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.
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Cited by
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Damour, T., Nagar, A., & Villain, L. (2012) · Physical Review D · doi:10.1103/physrevd.85.123007 · Cited by 466
The effective field theorist’s approach to gravitational dynamics
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Metadata
- Authors
- Kol, B., & Smolkin, M.
- Venue
- Journal of High Energy Physics
- Published
- 2012-02
- Volume
- 2012
- Issue
- 2
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2124544606
- Cited by
- 204
- References
- 0
- FWCI
- 2.49
- Type
- journal article
- Language
- en
- Open access
- green
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