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Article Dans Une Revue Physical Review D Année : 2015

Fully relativistic non-linear cosmological evolution in spherical symmetry using the BSSN formalism

Résumé

We present a fully relativistic numerical method for the study of cosmological problems using the Baumgarte-Shapiro-Shibata-Nakamura formalism on a dynamical Friedmann-Lemaître-Robertson-Walker background. This has many potential applications, including the study of the growth of structures beyond the linear regime. We present one such application by reproducing the Lemaître-Tolman-Bondi solution for the collapse of pressureless matter with arbitrary lapse function. The regular and smooth numerical solution at the center of coordinates proceeds in a natural way by relying on the partially implicit Runge-Kutta algorithm described in Montero and Cordero-Carrión [arXiv:1211.5930]. We generalize the usual radiative outer boundary condition to the case of a dynamical background and show the stability and convergence properties of the method in the study of pure gauge dynamics on a de Sitter background.

Dates et versions

hal-03742149 , version 1 (02-08-2022)

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J. Rekier, Isabel Cordero-Carrión, André Füzfa. Fully relativistic non-linear cosmological evolution in spherical symmetry using the BSSN formalism. Physical Review D, 2015, 91, ⟨10.1103/PhysRevD.91.024025⟩. ⟨hal-03742149⟩
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