The squared magnetic Weyl tensor behaves as an approximately conserved gravitational enstrophy, giving a Fjørtoft-type constraint that pushes nonlinear gravitational-wave energy toward lower frequencies in near-extremal Kerr and AdS.
Scaling Relations in Two-Dimensional Relativistic Hydrodynamic Turbulence
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We derive exact scaling relations for two-dimensional relativistic hydrodynamic turbulence in the inertial range of scales. We consider both the energy cascade towards large scales and the enstrophy cascade towards small scales. We illustrate these relations by numerical simulations of turbulent weakly compressible flows. Intriguingly, the fluid-gravity correspondence implies that the gravitational field in spacetimes with anti-de Sitter asymptotics should exhibit similar scaling relations.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 1years
2026 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints
The squared magnetic Weyl tensor behaves as an approximately conserved gravitational enstrophy, giving a Fjørtoft-type constraint that pushes nonlinear gravitational-wave energy toward lower frequencies in near-extremal Kerr and AdS.