Journal Article PUBDB-2024-06584

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Vanishing of Nonlinear Tidal Love Numbers of Schwarzschild Black Holes

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2024
North-Holland Publ. Amsterdam

Physics letters / B 854, 138710 () [10.1016/j.physletb.2024.138710]
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Report No.: DESY-23-207; arXiv:2312.05065

Abstract: It 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.

Keyword(s): black hole: Schwarzschild ; metric: Schwarzschild ; higher-order: 2 ; space-time: dimension: 4 ; expansion: derivative ; nonlinear ; metric: perturbation ; general relativity ; perturbation theory: higher-order ; Einstein equation: solution ; gravitation: effect ; asymptotic behavior ; solution: static ; correction: higher-order ; coupling ; boundary condition

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Note: 11 pages, 3 figures

Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)
  3. LHCtoLISA - Precision Gravity: From the LHC to LISA (817791) (817791)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2024
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Vanishing of Nonlinear Tidal Love Numbers of Schwarzschild Black Holes
[10.3204/PUBDB-2023-07623]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2024-11-04, last modified 2025-07-15


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