Integration of inhomogeneous cosmological spacetimes in the BSSN formalism
James B. Mertens, John T. Giblin Jr, Glenn D. Starkman
TL;DR
This paper introduces a new numerical tool, CosmoGRaPH, for simulating the evolution of an inhomogeneous universe in full general relativity using the BSSN formalism, enabling detailed study of matter distribution effects.
Contribution
The paper presents a novel numerical implementation, CosmoGRaPH, for simulating inhomogeneous cosmological spacetimes in full GR with stability validation.
Findings
Demonstrated robustness of the CosmoGRaPH simulations.
Enabled analysis of matter inhomogeneity effects on spacetime evolution.
Validated stability through standard tests.
Abstract
We present cosmological-scale numerical simulations of an evolving universe in full general relativity (GR) and introduce a new numerical tool, {\sc CosmoGRaPH}, which employs the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formalism on a 3-dimensional grid. Using {\sc 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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