Journal Article

2-charge circular fuzz-balls and their perturbations

Bianchi, Massimo, Di Russo, Giorgio

2023

Overview

A bstract We perform a detailed study of perturbations around 2-charge circular fuzz-balls and compare the results with the ones obtained in the case of ‘small’ BHs. In addition to the photon-sphere modes that govern the prompt ring-down, we also find a branch of long-lived QNMs localised inside the photon-sphere at the (meta)stable minimum of the radial effective potential. The latter are expected to dominate late time signals in the form of ‘echoes’. Moreover, contrary to ‘small’ BHs, some ‘static’ tidal Love numbers are non-zero and independent of the mass, charges and angular momentum of the fuzz-ball. We rely on the recently established connection between BH or fuzz-ball perturbation theory and quantum Seiberg-Witten curves for N = 2 SYM theories, which in turn are related to Liouville CFT via the AGT correspondence. We test our results against numerical results obtained with Leaver’s method of continuous fractions or Breit-Wigner resonance method for direct integration and with the WKB approximation based on geodesic motion. In the probe approximation, we also exclude rotational super-radiance, due to the absence of an ergo-region, and absorption, due to the absence of a horizon.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
• Subject: Angular momentum / Approximation / Black Holes / Black Holes in String Theory / Classical and Quantum Gravitation / D-Branes / Elementary Particles / Field theory / Fractions / Gauge theory / High energy physics / Love number / Mathematical analysis / Perturbation theory / Photons / Physics / Physics and Astronomy / Quantum Field Theories / Quantum Field Theory / Quantum Physics / Regular Article - Theoretical Physics / Relativity Theory / String and Brane Phenomenology / String Theory / Time signals