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Integration of inhomogeneous cosmological spacetimes in the BSSN formalism

2015/11/30 by James B. Mertens, John T. Giblin, John T. Giblin Jr +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmological model #Cosmology #Cosmology and Gravitation Theories #Dark energy #Formalism (music) #General relativity #Geometry #Grid #Mathematical physics #Mathematics #Metric expansion of space #Numerical relativity #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Robustness (evolution) #Space time #Spacetime #Statistical physics #Theoretical physics #Theory of relativity #astro-ph.CO #gr-qc

paper · pdf · doi:10.1103/physrevd.93.124059

published as Phys. Rev. D 93, 124059 (2016) · Updated to match published version

arxiv created 2016/06/24 · openalex publication_date 2016/06/24 · arxiv updated 2016/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We present cosmological-scale numerical simulations of an evolving universe in full general relativity and introduce a new numerical tool, cosmograph, which employs the Baumgarte-Shapiro-Shibata-Nakamura formalism on a three-dimensional grid. Using cosmograph, we calculate the effect of an inhomogeneous matter distribution on the evolution of a spacetime. We also present the results of a set of standard stability tests to demonstrate the robustness of our simulations.

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