Spherically Symmetric solutions on a cosmological dynamical background with BSSN equations

Spanish Relativity Meeting: almost 100 years after Einstein's revolution

Rekier, J.^1 ; Cordero-Carrión, I.^1,2,3 ; Füzfa, A.^1

NaXys, University of Namur (UNamur), 61 Rue de Bruxelles, Namur

B-5000, Belgium^1

Laboratoire Univers et Théories (LUTh), Observatoire de Paris, Université Paris Diderot, 5 place Jules Janssen, Meudon

F-92190, France^2

IFPA, Dep. AGO, Bat B5, Sart Tilman, Liège 1

B-4000, Belgium^3

关键词: Cosmological problems;    Flat backgrounds;    General Relativity;    Generalisation;    Spacetime;    Spherical symmetry;    Stability and convergence;    Symmetric solution;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012062/pdf
DOI  :  10.1088/1742-6596/600/1/012062

来源: IOP

【 摘 要 】

We give a summary of the work presented in [1]. We expose a numerical method for the study of cosmological problems in spherical symmetry in full General Relativity. The stability of the code close to the origin is made possible through the use of the Partially Implicit Runge-Kutta (PIRK) algorithm described in [2]. We demonstrate the stability and convergence properties and give a simple application to the evolution of the Lemaître-Tolman-Bondi spacetime. This work is a generalisation of the study given in [3] performed on an asymptotically flat background.