Spherically symmetric cosmological spacetimes with dust and radiation - numerical implementation

Abstract

We present new numerical cosmological solutions of the Einstein Field Equations. The spacetime is spherically symmetric with a source of dust and radiation approximated as a perfect fluid. The dust and radiation are necessarily non-comoving due to the inhomogeneity of the spacetime. Such a model can be used to investigate non-linear general relativistic effects present during decoupling or big-bang nucleosynthesis, as well as for investigating void models of dark energy with isocurvature degrees of freedom. We describe the full evolution of the spacetime as well as the redshift and luminosity distance for a central observer. After demonstrating accuracy of the code, we consider a few example models, and demonstrate the sensitivity of the late time model to the degree of inhomogeneity of the initial radiation contrast.

12 pages, 5 figures. v2: minor changes, matches published version

References in corpus (6)

• Precision cosmology defeats void models for acceleration
• The Cosmic Microwave Background in an Inhomogeneous Universe - why void models of dark energy are only weakly constrained by the CMB
• Cosmic microwave background bispectrum on small angular scales
• Chasing the non-linear evolution of matter power spectrum with numerical resummation method: solution of closure equations
• Inhomogeneous Big Bang Nucleosynthesis Revisited
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Cited by in corpus (5)

• Cosmological backreaction in the presence of radiation and a cosmological constant
• Spikes and matter inhomogeneities in massless scalar field models
• Non-comoving baryons and cold dark matter in cosmic voids
• Towards the geometry of the universe from data
• Numerical confirmations of joint spike transitions in $G_2$ cosmologies