82 citations · 92 across the 6 of their papers we have counts for
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Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordström Black Hole
Marios A. Apetroaie, Sam C. Collingbourne, Elena Giorgi
We study the linearised Einstein--Maxwell equations on the Reissner--Nordström spacetime and derive the canonical energy conservation law in double null gauge. In the spirit of the…
Coercivity Properties of the Canonical Energy in Double Null Gauge
Sam C. Collingbourne
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 establish…
Uniform Boundedness for Solutions to the Teukolsky Equation on Schwarzschild from Conservation Laws of Linearised Gravity
Sam C. Collingbourne, Gustav Holzegel
We consider the equations of linearised gravity on the Schwarzschild spacetime in a double null gauge. Applying suitably commuted versions of the conservation laws derived in earli…
The Gregory-Laflamme Instability of the Schwarzschild Black String Exterior
Sam C. Collingbourne
In this paper, a direct rigorous mathematical proof of the Gregory-Laflamme instability for the five-dimensional Schwarzschild black string is presented. Under a choice of ansatz f…