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000599934 0247_ $$2datacite_doi$$a10.3204/PUBDB-2023-07623
000599934 0247_ $$2arXiv$$aarXiv:2312.05065
000599934 037__ $$aPUBDB-2023-07623
000599934 041__ $$aEnglish
000599934 082__ $$a530
000599934 088__ $$2DESY$$aDESY-23-207
000599934 088__ $$2arXiv$$aarXiv:2312.05065
000599934 1001_ $$0P:(DE-H253)PIP1103490$$aRiva, Massimiliano Maria$$b0
000599934 245__ $$aVanishing of Nonlinear Tidal Love Numbers of Schwarzschild Black Holes
000599934 260__ $$c2024
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000599934 500__ $$a11 pages, 3 figures
000599934 520__ $$aIt is well known that asymptotically flat Schwarzschild black holes in general relativity in four spacetime di- mensions have vanishing induced linear tidal response. We extend this result beyond linear order for the polar sector, by solving the static nonlinear Einstein equations for the perturbations of the Schwarzschild metric and computing the quadratic corrections to the electric-type tidal Love numbers. After explicitly performing the matching with the point-particle effective theory at leading order in the derivative expansion, we show that the Love number couplings remain zero at higher order in perturbation theory.
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000599934 536__ $$0G:(EU-Grant)817791$$aLHCtoLISA - Precision Gravity: From the LHC to LISA (817791)$$c817791$$fERC-2018-COG$$x2
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000599934 7001_ $$0P:(DE-HGF)0$$aSantoni, Luca$$b1$$eCorresponding author
000599934 7001_ $$0P:(DE-HGF)0$$aSavic, Nikola$$b2
000599934 7001_ $$0P:(DE-HGF)0$$aVernizzi, Filippo$$b3
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000599934 9141_ $$y2024
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