FCF formulation of Einstein equations: local uniqueness and numerical accuracy and stability

Cordero Carrión, Isabel; Santos Pérez, Samuel; Cerdá Durán, Pablo

Repositorio

Cómo publicar

Recursos

FAQs

FCF formulation of Einstein equations: local uniqueness and numerical accuracy and stability

Autor(es) y otros:

Cordero Carrión, Isabel; Santos Pérez, Samuel; Cerdá Durán, Pablo

Fecha de publicación:

2021

Editorial:

Servicio de Publicaciones de la Universidad de Oviedo

Citación:

Cordero Carrión, I.; Santos Pérez, S. y Cerdá Durán, P. (2021) FCF formulation of Einstein equations: local uniqueness and numerical accuracy and stability. En Gallego, R. y Mateos, M.(editores) Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada (pp. 148-154). Oviedo : Universidad de Oviedo, Servicio de Publicaciones

Descripción física:

p. 148-154

Resumen:

We present Einstein equations in the so-called Fully Constrained Formulation (FCF). This formulation has two different sectors: the elliptic sector formed by the Hamiltonian and Momentum constraints together with the equations derived from the gauge choice, and the hyperbolic sector which encodes the evolution of the rest of degrees of freedom of the spacetime metric including the gravitational waves. We present a modification of both sectors that keeps local uniqueness properties but has a better behaviour regarding the relativistic expansion of the equations. We also comment on numerical properties of this reformulation.