Dynamical friction of black holes in ultralight dark matter
Rodrigo Vicente, Vitor Cardoso
TL;DR
This paper derives simple formulas for the dynamical friction experienced by black holes moving through ultralight dark matter, incorporating black hole spin and relativistic speeds, extending previous models.
Contribution
It provides new closed-form expressions for dynamical friction in ultralight dark matter, including effects of black hole spin and relativistic velocities.
Findings
Derived formulas for non-relativistic and relativistic speeds
Includes effects of black hole spin
Complements numerical and previous models
Abstract
In this work we derive simple closed-form expressions for the dynamical friction acting on black holes moving through ultralight (scalar field) dark matter, covering both non-relativistic and relativistic black hole speeds. Our derivation is based on long known scattering amplitudes in black hole spacetimes, it includes the effect of black hole spin and can be easily extended to vector and tensor light fields. Our results cover and complement recent numerical and previous non-relativistic treatments of dynamical friction in ultralight dark matter.
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