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math.AP2025
The Cauchy Problem for Symmetric Hyperbolic Systems with Nonlocal Potentials
Felix Finster, Simone Murro, Gabriel Schmid
In this paper, we investigate the initial value problem for symmetric hyperbolic systems on globally hyperbolic Lorentzian manifolds with potentials that are both nonlocal in time…
math.AP2024★ 5 cited
On boundary conditions for linearised Einstein's equations
Matteo Capoferri, Simone Murro, Gabriel Schmid
We investigate the properties of a fairly large class of boundary conditions for the linearised Einstein equations in the Riemannian setting, ones which generalise the linearised c…
math.AP2024★ 3 cited
The Quantization of Maxwell Theory in the Cauchy Radiation Gauge: Hodge Decomposition and Hadamard States
Simone Murro, Gabriel Schmid
The aim of this paper is to prove the existence of Hadamard states for the Maxwell equations on any globally hyperbolic spacetime. This will be achieved by introducing a new gauge…