# Linear Stability of the Schwarzschild Solution under gravitational perturbations

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Gustav Holzegel , Imperial College London
Fine Hall 314

I will talk about recent work joint with M. Dafermos and I. Rodnianski establishing the linear stability of the Schwarzschild solution. Key to the proof is a novel quantity which decouples from the system of gravitational perturbations and satisfies a wave equation, for which decay estimates can be proven. I will also connect the result to the non-linear stability problem.