A new gauge for gravitational perturbations of Kerr spacetimes II: The linear stability of Schwarzschild revisited

G Benomio - Archive for Rational Mechanics and Analysis, 2024 - Springer
We present a new proof of linear stability of the Schwarzschild solution to gravitational
perturbations. Our approach employs the system of linearised gravity in the new geometric …

Coercivity properties of the canonical energy in double null gauge on the 4-dimensional Schwarzschild exterior

SC Collingbourne - Classical and Quantum Gravity, 2023 - iopscience.iop.org
In this paper, we study the canonical energy associated with solutions to the linearised
vacuum Einstein equation on a stationary spacetime. The main result of this paper …

Coercivity Properties of the Canonical Energy in Double Null Gauge

SC Collingbourne - arXiv preprint arXiv:2307.05459, 2023 - arxiv.org
In this paper, we study the canonical energy associated with solutions to the linearised
vacuum Einstein equation on a stationary spacetime. The main result of this paper …