The averaging problem on the past null cone in inhomogeneous dust cosmologies

T Buchert, H van Elst, A Heinesen - General Relativity and Gravitation, 2023 - Springer
Cosmological models typically neglect the complicated nature of the spacetime mani-fold at
small scales in order to hypothesize idealized general relativistic solutions for describing the …

Cosmic backreaction and the mean redshift drift from symbolic regression

SM Koksbang - Physical Review D, 2023 - APS
The possibility of obtaining symbolic expressions for cosmic backreaction is explored
through a case study of so-called 2-region models. By using the publicly available symbolic …

Redshift drift in a universe with structure. III. Numerical relativity

SM Koksbang, A Heinesen, HJ Macpherson - Physical Review D, 2024 - APS
Measurements of the cosmic redshift drift—the change in redshift of a source over time—will
enable independent detection of cosmological expansion thanks to the immense precision …

EBWeyl: a code to invariantly characterize numerical spacetimes

RL Munoz, M Bruni - Classical and Quantum Gravity, 2023 - iopscience.iop.org
Relativistic cosmology can be formulated covariantly, but in dealing with numerical relativity
simulations a gauge choice is necessary. Although observables should be gauge-invariant …

Backreaction in Numerical Relativity: Averaging on Newtonian gauge-like hypersurfaces in Einstein Toolkit cosmological simulations

A Oestreicher, SM Koksbang - arXiv preprint arXiv:2408.03049, 2024 - arxiv.org
We introduce a spatial averaging scheme and use it to study the evolution of spatial
averages in large-scale simulations of cosmological structure formation performed with the …

First investigation of void statistics in numerical relativity simulations

MJ Williams, HJ Macpherson, DL Wiltshire… - arXiv preprint arXiv …, 2024 - arxiv.org
We apply and extend standard tools for void statistics to cosmological simulations that solve
Einstein's equations with numerical relativity (NR). We obtain a simulated void catalogue …

Hubble diagrams in statistically homogeneous, anisotropic universes

T Anton, T Clifton - Journal of Cosmology and Astroparticle …, 2024 - iopscience.iop.org
We consider the form of Hubble diagrams that would be constructed by observers in
universes that are homogeneous but anisotropic, when averaged over suitably large length …

Cosmology using numerical relativity

JC Aurrekoetxea, K Clough, EA Lim - arXiv preprint arXiv:2409.01939, 2024 - arxiv.org
This review is an up-to-date account of the use of numerical relativity to study dynamical,
strong-gravity environments in a cosmological context. First, we provide a gentle introduction …

The impact of anisotropic sky-sampling on the Hubble constant in numerical relativity

HJ Macpherson - arXiv preprint arXiv:2402.09659, 2024 - arxiv.org
We study the impact of nearby inhomogeneities on an observer's inference of the Hubble
constant. Large-scale structures induce a dependence of cosmological parameters on …

Relativistic gravity in the inhomogeneous Universe

T Anton - arXiv preprint arXiv:2407.17984, 2024 - arxiv.org
Cosmology is built on a relativistic understanding of gravity, where the geometry of the
Universe is dynamically determined by matter and energy. In the cosmological concordance …