Why there is no Love in black holes
Alexandru Lupsasca
TL;DR
This paper reveals a hidden conformal symmetry in Kerr black hole perturbations, demonstrating that black holes have no tidal deformability, which explains the vanishing Love numbers.
Contribution
It introduces a new non-geometric conformal symmetry in Kerr perturbations and links it to the vanishing Love numbers of black holes.
Findings
Black hole perturbations form a conformal symmetry representation.
Tidal response fields belong to a different conformal representation.
Black holes have zero tidal deformability (vanishing Love numbers).
Abstract
This paper presents a new conformal symmetry of stationary, axisymmetric Kerr perturbations. This symmetry is exact but non-geometric (or "hidden"), and each of its generators has an associated infinite family of eigenstate solutions. Tidal perturbations of a black hole form an irreducible highest-weight representation of this conformal group, while the tidal response fields live in a different such representation. This implies that black holes have no tidal deformability, or vanishing Love numbers.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Astrophysical Phenomena and Observations · Pulsars and Gravitational Waves Research