The $C^3$-null gluing problem: linear and nonlinear analysis
The $C^3$-null gluing problem: linear and nonlinear analysis
In this paper, we investigate the $C^3$-null gluing problem for the Einstein vacuum equations, that is, we consider the null gluing of up to and including third-order derivatives of the metric. In the regime where the characteristic data is close to Minkowski data, we show that this $C^3$-null gluing problem …