Persistence of findings beyond the Hadad–Zakharov reduction

Determine whether the numerical and statistical findings obtained within the Hadad–Zakharov metric persist when solving the full Einstein equations without employing the Hadad–Zakharov reduction, i.e., within the full framework of General Relativity.

Background

The study interprets the Hadad–Zakharov metric as a reduction of General Relativity and demonstrates, in the weakly nonlinear wave-turbulence regime, an equivalence between certain subsets of Einstein’s equations.

However, outside these assumptions and numerically, satisfying all Einstein equations simultaneously is challenging. Thus, it remains an open issue whether the reported turbulence properties are robust in full General Relativity.