Journal Article

PUBDB-2025-05793

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Vanishing of quadratic Love numbers of Schwarzschild black holes

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

2025
Springer Heidelberg

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Please use a persistent id in citations: doi:10.1007/JHEP02(2025)174  doi:10.3204/PUBDB-2025-05793

Report No.: DESY 24-141; arXiv:2410.03542

Abstract: The induced conservative tidal response of self-gravitating objects in general relativity is parametrized in terms of a set of coefficients, which are commonly referred to as Love numbers. For asymptotically-flat black holes in four spacetime dimensions, the Love numbers are famously zero in the static regime. In this work, we show that this result continues to hold upon inclusion of nonlinearities in the theory for Schwarzschild black holes. We first solve the quadratic Einstein equations in the static limit to all orders in the multipolar expansion, including both even and odd perturbations. We show that the second-order solutions take simple analytic expressions, generically expressible in the form of finite polynomials. We then define the quadratic Love numbers at the level of the point-particle effective field theory. By performing the matching with the full solution in general relativity, we show that quadratic Love number coefficients are zero to all orders in the derivative expansion, like the linear ones.

Keyword(s): Black Holes ; Classical Theories of Gravity ; Effective Field Theories

Note: 55 pages, 3 figures v2: corrected typos and added references

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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. LHCtoLISA - Precision Gravity: From the LHC to LISA (817791) (817791)
3. DFG project G:(GEPRIS)390833306 - EXC 2121: Das Quantisierte Universum II (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; National-Konsortium ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Iteanu, S. ; Riva, M. M. (Corresponding author)DESY* ; Santoni, L. ; Savić, N. ; Vernizzi, F.
Vanishing of Quadratic Love Numbers of Schwarzschild Black Holes
[10.3204/PUBDB-2024-06039]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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