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000617034 1001_ $$0P:(DE-H253)PIP1103490$$aRiva, Massimiliano Maria$$b0$$eCorresponding author$$udesy
000617034 245__ $$aVanishing of Nonlinear Tidal Love Numbers of Schwarzschild Black Holes
000617034 260__ $$aAmsterdam$$bNorth-Holland Publ.$$c2024
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000617034 520__ $$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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000617034 650_7 $$2INSPIRE$$ablack hole: Schwarzschild
000617034 650_7 $$2INSPIRE$$ametric: Schwarzschild
000617034 650_7 $$2INSPIRE$$ahigher-order: 2
000617034 650_7 $$2INSPIRE$$aspace-time: dimension: 4
000617034 650_7 $$2INSPIRE$$aexpansion: derivative
000617034 650_7 $$2INSPIRE$$anonlinear
000617034 650_7 $$2INSPIRE$$ametric: perturbation
000617034 650_7 $$2INSPIRE$$ageneral relativity
000617034 650_7 $$2INSPIRE$$aperturbation theory: higher-order
000617034 650_7 $$2INSPIRE$$aEinstein equation: solution
000617034 650_7 $$2INSPIRE$$agravitation: effect
000617034 650_7 $$2INSPIRE$$aasymptotic behavior
000617034 650_7 $$2INSPIRE$$asolution: static
000617034 650_7 $$2INSPIRE$$acorrection: higher-order
000617034 650_7 $$2INSPIRE$$acoupling
000617034 650_7 $$2INSPIRE$$aboundary condition
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000617034 7001_ $$0P:(DE-HGF)0$$aSantoni, Luca$$b1
000617034 7001_ $$0P:(DE-HGF)0$$aSavić, Nikola$$b2
000617034 7001_ $$0P:(DE-HGF)0$$aVernizzi, Filippo$$b3
000617034 77318 $$2Crossref$$3journal-article$$a10.1016/j.physletb.2024.138710$$bElsevier BV$$d2024-07-01$$p138710$$tPhysics Letters B$$v854$$x0370-2693$$y2024
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000617034 7870_ $$0PUBDB-2023-07623$$aRiva, Massimiliano Maria et.al.$$d2023$$iIsParent$$rDESY-23-207 ; arXiv:2312.05065$$tVanishing of Nonlinear Tidal Love Numbers of Schwarzschild Black Holes
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