Work

The vanishing of the non-linear static love number of Kerr black holes and the role of symmetries

Year: 2025

Type: article

Abstract: We investigate the tidal response of Kerr black holes in four-dimensional spacetimes subjected to external gravitational fields. Using the Ernst formalism and Weyl coordinates, we analyze the non-linear tidal deformation of rotating black holes and demonstrate that their static tidal Love numbers vanish at all orders of the external tidal field. We also show that this result is intimately related to the presence of underlying non-linear symmetries. Our analysis generalizes previous findings for Schwarzschild black holes and confirms the robustness of four-dimensional black holes against tidal forces.

Source: Journal of Cosmology and Astroparticle Physics

DOI: 10.1088/1475-7516/2025/03/002

Authors: L.-R. Gounis, A. Kehagias, A. Riotto

Institutions: National Technical University of Athens, University of Geneva

Language: English

Topic: Pulsars and Gravitational Waves Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung