Preprint

PUBDB-2023-07623

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Vanishing of Nonlinear Tidal Love Numbers of Schwarzschild Black Holes

Riva, M. M.DESY* ; Santoni, L. (Corresponding author) ; Savic, N. ; Vernizzi, F.

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-07623

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.

Note: 11 pages, 3 figures

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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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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Riva, M. M. (Corresponding author)DESY* ; Santoni, L. ; Savić, N. ; Vernizzi, F.
Vanishing of Nonlinear Tidal Love Numbers of Schwarzschild Black Holes
Physics letters / B 854, 138710 (2024) [10.1016/j.physletb.2024.138710]2024     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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