Nonlinear effects of general relativity from multiscale structure

DOI10.1088/0264-9381/32/21/215013zbMath1329.83046arXiv1412.3865OpenAlexW3106063896MaRDI QIDQ3462101

Mikołaj Korzyński

Publication date: 4 January 2016

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

Full work available at URL: https://arxiv.org/abs/1412.3865

zbMATH Keywords

backreactionmathematical cosmologystructure of the universenonlinearity of general relativity

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (9)

Analytic analysis of irregular discrete universes ⋮ On average properties of inhomogeneous fluids in general relativity. III: General fluid cosmologies ⋮ Dark matter from backreaction? Collapse models on galaxy cluster scales ⋮ Cosmic expansion from spinning black holes ⋮ Lie sphere geometry in lattice cosmology ⋮ Persistence in black hole lattice cosmological models ⋮ Black-hole lattices as cosmological models ⋮ A quasi-static approach to structure formation in black hole universes ⋮ Multiple-scales approach to the averaging problem in cosmology

Cites Work

• Geometrical order-of-magnitude estimates for spatial curvature in realistic models of the universe
• Multifractal analysis of packed Swiss cheese cosmologies
• Dark energy from structure: a status report
• The high-frequency limit in general relativity
• THE FRACTAL DIMENSION OF THE APOLLONIAN SPHERE PACKING
• An Algorithm for Generating the Sphere Coordinates in a Three-Dimensional Osculatory Packing
• Effect of Inhomogeneity on Cosmological Models
• The Osculatory Packing of a Three Dimensional Sphere

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