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Turbulent black holes.

Huan Yang1,2, Aaron Zimmerman3, Luis Lehner1

  • 1Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L2Y5, Canada.

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Rapidly spinning black holes exhibit a novel turbulence-like instability above a perturbation threshold. This phenomenon, with observable consequences for black hole binaries, offers insights into fluid dynamics via gravitational descriptions.

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Area of Science:

  • Astrophysics
  • Fluid Dynamics
  • General Relativity

Background:

  • Black holes are complex astrophysical objects governed by Einstein's theory of general relativity.
  • Understanding the dynamics of rapidly spinning black holes is crucial for astrophysical observations.
  • Turbulence is a complex phenomenon observed in various fluid systems, but its presence in astrophysical contexts like black holes is less understood.

Purpose of the Study:

  • To investigate the possibility of nonlinear parametric instabilities in rapidly spinning black holes.
  • To explore the connection between black hole dynamics and fluid turbulence.
  • To identify potential observable signatures of these instabilities in astrophysical systems.

Main Methods:

  • Simulating the behavior of rapidly spinning black holes under perturbation.
  • Analyzing the frequency transfer characteristics of the instability.
  • Applying fluid-gravity duality to connect gravitational phenomena with fluid dynamics.

Main Results:

  • Demonstrated a new nonlinear parametric instability in rapidly spinning black holes, triggered above a perturbation amplitude threshold.
  • Observed the transfer of energy from higher to lower temporal and azimuthal frequencies, akin to an inverse cascade in (2+1)-dimensional fluids.
  • Provided evidence for transitory turbulence in astrophysical black holes.

Conclusions:

  • The identified instability in spinning black holes suggests a connection to turbulence, with potentially observable consequences.
  • This finding predicts observable signatures in black hole binaries with high spins.
  • The gravitational description of this behavior, via fluid-gravity duality, may illuminate the study of turbulence in fluids.