On non-Euclidean Newtonian theories and their cosmological backreaction

DOI10.1088/1361-6382/ac7a87zbMath1498.83062arXiv2201.02112OpenAlexW4283216757WikidataQ114096925 ScholiaQ114096925MaRDI QIDQ5090240

Quentin Vigneron

Publication date: 18 July 2022

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.02112

zbMATH Keywords

cosmic topologycosmological backreactionNewton-Cartan

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

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• The residual gravity acceleration effect in the Poincaré dodecahedral space
• Quasi-Newtonian dust cosmologies
• Non-Euclidean Newtonian cosmology
• Gauss–Bonnet–Chern approach to the averaged Universe
• A weak acceleration effect due to residual gravity in a multiply connected universe
• Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity

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