2 papers
gr-qc2026
Solving Einstein's Vacuum Equations with Physics-Informed Neural Networks: Boundary Conditions and Domain Decomposition
Elly Bayona, Hernando Quevedo
We investigate the application of Physics-Informed Neural Networks (PINNs) to the numerical solution of Einstein's vacuum field equations for static spacetimes. We first reproduce…
gr-qc2024
Spherically symmetric collapse: Initial configurations
Elly Bayona, Hernando Quevedo, Miguel Alcubierre
The initial state of the spherical gravitational collapse in general relativity has been studied with different methods, especially by using {\it a priori} given equations of state…