Love Numbers for Extremal Kerr Black Hole
Malcolm Perry, Maria J. Rodriguez
TL;DR
This paper calculates the finite gravitational tidal Love numbers of extremal Kerr black holes, revealing their dissipative properties and providing explicit low-frequency formulas using advanced mathematical methods.
Contribution
It offers the first detailed computation of Love numbers for extremal Kerr black holes, highlighting their finite and dissipative nature with explicit formulas.
Findings
Love numbers are finite for extremal Kerr black holes.
They exhibit dissipative characteristics.
Explicit low-frequency formulas are derived.
Abstract
We perform a detailed study of the gravitational tidal Love numbers of extremal zero-temperature Kerr black holes. These coefficients are finite and exhibit the dissipative nature of these maximally spinning black holes. Upon considering the dynamical behavior of the tidal deformations of the extremal Kerr black holes, we provide explicit expressions of the Love numbers at low frequencies. Their calculation is simplified to specific formulas, which are directly derived using the Leaver-MST methods.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Particle physics theoretical and experimental studies