Nonlinear Gravity and Multipole Turbulence

TL;DR

This paper derives a kinetic equation for nonlinear gravitational wave multipoles, revealing that high-multipole gravitons lead to an inverse cascade, influencing the long-term turbulence behavior in Minkowski spacetime.

Contribution

It introduces a kinetic Boltzmann framework for gravitational wave multipoles and demonstrates inverse cascade phenomena in this context.

Findings

Derivation of a kinetic Boltzmann equation for gravitational multipoles

Identification of an inverse multipole cascade at large times

Insights into long-term turbulence dynamics of gravitational waves

Abstract

We derive a kinetic Boltzmann equation characterizing the long-term statistical behavior of the turbulent dynamics of nonlinear interacting gravitational wave multipoles in Minkowski spacetime and show that, injecting a large number of gravitons with large multipoles drives the system toward an inverse multipole cascade at large times.