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We present a numerically stable system of (3+1) evolution equations for thenonlinear gravitational dynamics of quadratic-curvature corrections to GeneralRelativity (Quadratic Gravity). We also report on the numerical implementationof these evolution equations. We recover a well-known linear instability andgather evidence that -- aside from said instability -- Quadratic Gravityexhibits a physically stable Ricci-flat subsector. In particular, wedemonstrate that Teukolsky-wave perturbations of a Schwarzschild black hole aswell as a full binary inspiral (evolved up to merger) remain Ricci flatthroughout evolution. This suggests that, at least in vacuum, classicalQuadratic Gravity can mimic General Relativity, even in the fully nonlinearstrong-gravity regime.

Nonlinear Evolution of Quadratic Gravity in 3+1 Dimensions