6533b823fe1ef96bd127eb16
RESEARCH PRODUCT
Fully relativistic non-linear cosmological evolution in spherical symmetry using the BSSN formalism
André FüzfaJérémy RekierIsabel Cordero-carriónsubject
PhysicsNuclear and High Energy Physics010308 nuclear & particles physicsNumerical analysisFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyCosmologyGeneral Relativity and Quantum CosmologyNonlinear systemTheoretical physicsNumerical relativityDe Sitter universe0103 physical sciencesRadiative transferCircular symmetryBoundary value problemAstrophysics - Instrumentation and Methods for Astrophysics010306 general physicsInstrumentation and Methods for Astrophysics (astro-ph.IM)description
We present a fully relativistic numerical method for the study of cosmological problems using the Baumgarte-Shapiro-Shibata-Nakamura formalism on a dynamical Friedmann-Lema\^itre-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 Lema\^itre-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-Carri\'on [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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-09-11 | Physical Review D |