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Emergent Turbulence in Nonlinear Gravity.

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Nonlinear interactions in gravity drive inverse energy cascades, explaining cosmic structure and gravitational waves. These interactions are crucial for understanding phenomena from the early Universe to black hole mergers.

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Area of Science:

  • Astrophysics
  • General Relativity
  • Cosmology

Background:

  • Nonlinear interactions in gravity are crucial for astrophysical phenomena.
  • Inverse energy cascades may explain cosmic structure and gravitational waves from binary black hole mergers.
  • The role of these interactions in full general relativity is largely unexplored.

Purpose of the Study:

  • To investigate the presence and characteristics of nonlinear interactions in the fully nonlinear regime of general relativity.
  • To determine if these interactions can channel inverse energy cascades.
  • To explore the transition from laminar to turbulent dynamics in gravitational systems.

Main Methods:

  • Analysis of nonlinear interactions, specifically four-mode and three-mode interactions.
  • Investigating resonant and antidamping nonlinear instabilities.
  • Simulating the transition from laminar to turbulent flow in gravitational structures.

Main Results:

  • Identified two types of nonlinear interactions (four-mode and three-mode) in the nonlinear regime.
  • Demonstrated that these interactions channel inverse energy cascades via nonlinear instabilities.
  • Observed a laminar-to-turbulent transition for large angular structures, while finer structures remain turbulent.

Conclusions:

  • Nonlinear interactions significantly impact gravitational phenomena across various scales.
  • These findings are key to understanding observations from cosmological to kilometer scales.
  • The study provides a foundation for constructing gravitational-wave templates and testing general relativity in extreme regimes.