Author

Hernando Quevedo

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Preprint Aug 2026

Solving Einstein's Vacuum Equations with Physics-Informed Neural Networks: Boundary Conditions and Domain Decomposition

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 the Schwarzschild solution and then extend the method to the axisymmetric $q-$metric, a nontrivial exact solution characterized by a mass qu...

Elly Bayona, H. Quevedo · 1 citation

Preprint Jul 2026

Geometric Universality and Thermodynamic Microstructure of Real Fluids in a Unified Entropic Framework

We introduce a unified entropic framework for real fluids that encompasses the van der Waals, Berthelot, Redlich Kwong, and Peng Robinson equations of state within a common thermodynamic description. The corresponding microscopic interactions are then explored using Geometrothermodynamics, GTD, through the scalar curva...

Carlos E. Romero-Figueroa, J. M. Ladino, S. A. Zaldivar et al. · 0 citations