3 papers
gr-qc2019
On the link between the Maxwell and linearised Einstein equations on Schwarzschild
Thomas Johnson
In this short note we shall demonstrate that given a smooth solution to the linearised Einstein equations on Schwarzschild which is supported on the spherical harmoni…
gr-qc2018
The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge
Thomas William Johnson
We prove in this paper that the Schwarzschild famiily of black holes are linearly stable as a family of solutions to the system of equations that result from expressing the Einstei…
gr-qc2018
On the linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge
Thomas Johnson
In a recent seminal paper \cite{D-H-R} of Dafermos, Holzegel and Rodnianski the linear stability of the Schwarzschild family of black hole solutions to the Einstein vacuum equation…