4 citations · 15 across the 6 of their papers we have counts for
5 papers · 1 filter
A Semilinear Wave Sector in Force-Free Electrodynamics
Yafet E. Sanchez Sanchez
We introduce an ansatz for force-free electrodynamics in Minkowski spacetime under which the nonlinear system reduces to a semilinear scalar wave equation depending on two spacetim…
Green Operators in Low Regularity Spacetimes and Quantum Field Theory
Guenther Hoermann, Yafet Sanchez Sanchez, Christian Spreitzer +1
In this paper we develop the mathematics required in order to provide a description of the observables for quantum fields on low-regularity spacetimes. In particular we consider th…
Generalised hyperbolicity in spacetimes with string-like singularities
Yafet Sanchez Sanchez, James A. Vickers
In this paper we present well-posedness results of the wave equation in for spacetimes that contain string-like singularities. These results extend a framework able to char…
Generalised hyperbolicity in spacetimes with Lipschitz regularity
Yafet Sanchez Sanchez, James A. Vickers
In this paper, we obtain general conditions under which the wave equation is well-posed in spacetimes with metrics of Lipschitz regularity. In particular, the results can be applie…
Regularity of curve integrable spacetimes
Yafet Sanchez Sanchez
The idea of defining a gravitational singularity as an obstruction to the dynamical evolution of a test field (described by a PDE) rather than the dynamical evolution of a particle…