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gr-qc2026

Generalized Polytropic Regular Black Holes in Arbitrary Dimensions

Seyed Naseh Sajadi, Supakchai Ponglertsakul, Petarpa Boonserm +2

We investigate static, spherically symmetric regular black holes with anti-de Sitter (AdS) asymptotics in arbitrary spacetime dimensions. They are solutions of Einstein gravity, so…

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…

cond-mat.stat-mech2026

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

Carlos E. Romero-Figueroa, Jose Miguel Ladino, Sasha A. Zaldivar +1

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 thermod…

gr-qc2026

Quasi-homogeneous geometrothermodynamics of a noncommutative Reissner-Nordstrom black hole

Alberto Maya, Hernando Quevedo

We present the thermodynamic properties of a noncommutative Reissner Nordstrom (NCRN) black hole (BH) modeled with Lorentzian distributions. The analysis is carried out using a Leg…

gr-qc2026

Quasi-Homogeneous Thermodynamics and Microscopic Structure of the Quantum-Corrected FLRW Universe

Carlos E. Romero-Figueroa, Hernando Quevedo

The analysis of phase transitions in cosmological spacetimes shows that their existence requires a time-dependent apparent horizon radius, which in turn implies an equation of stat…