Weak ultimate Schwarzschild conjecture for the spacetime of Theorem maintheorem

The spacetime under consideration satisfies the hypotheses of Theorem

$$, including the ultimately Schwarzschildean assumptions and the stated decay estimates. **Weak ultimate Schwarzschild conjecture.** The spacetime of Theorem$$

is weakly ultimately Schwarzschildean to order $k+2$. This conjecture is motivated by techniques that obtain estimates for the deformation tensor and Ricci coefficients from estimates on the Weyl tensor; its resolution is not specified in the source.