Nonlinearities in the tidal Love numbers of black holes

Valerio De Luca, Justin Khoury, Sam S.C. Wong

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

30 Citations (Scopus)

Abstract

Tidal Love numbers describe the linear response of a compact object under the presence of external tidal perturbations, and they are found to vanish exactly for black holes within General Relativity. In this paper we investigate the tidal deformability of neutral black holes when nonlinearities in the theory are taken into account. As a case in point, we consider scalar tidal perturbations on the black hole background, and find that the tidal Love numbers may be nonvanishing depending on the scalar interactions in the bulk theory. Remarkably, for nonlinear sigma models, we find that the tidal Love numbers vanish to all orders in perturbation theory.

© 2023 American Physical Society
Original languageEnglish
Article number024048
JournalPhysical Review D
Volume108
Issue number2
DOIs
Publication statusPublished - 15 Jul 2023
Externally publishedYes

Funding

We thank M. Ivanov, A. Joyce, U. Kol and A. Riotto for interesting comments and discussions. V. D. L. is supported by funds provided by the Center for Particle Cosmology at the University of Pennsylvania. The work of J. K. and S. W. is supported in part by the DOE (HEP) Award No. DE-SC0013528.

Fingerprint

Dive into the research topics of 'Nonlinearities in the tidal Love numbers of black holes'. Together they form a unique fingerprint.

Cite this