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gr-qc2024
Approximations of the quasi-local Bartnik mass in general relativity
Leon Escobar-Diaz, Chris Stevens
In this study, we employ eth-operators and spin-weighted spherical harmonics to express the ADM mass of a static space-time based on the mean values of its components over a a radi…
gr-qc2023
Numerical stability of the Hyperbolic Formulation of the Constraint equations for cosmological space-times
Alejandro Estrada-Llesta, Cristhian Martinez-Duarte, Leon Escobar-Diaz
In this work, we study of the algebraic-hyperbolic formulation of the Einstein constraint equations for numerically constructing initial data sets for inhomogeneous cosmological sp…
gr-qc2023
Spectral-infinite element method approach for computing asymptotically flat initial data sets in general relativity
Leon Escobar-Diaz, Paula Bran
In this work, we introduce a spectral-infinite element method for solving Einstein's constraint equations in hyperbolic form. As an application of this, we use this method for comp…