AVERAGING GEOMETRICAL OBJECTS ON A DIFFERENTIABLE MANIFOLD

DOI10.1142/S0218271810018062zbMath1204.83081arXiv1003.2014OpenAlexW3105259686MaRDI QIDQ3067226

Alan A. Coley, Johan Brännlund, Robert van Den Hoogen

Publication date: 20 January 2011

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2014

zbMATH Keywords

Cartan theory

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

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Cites Work

• Spherically symmetric solutions in macroscopic gravity
• The curvature problem in general relativity
• Towards a theory of macroscopic gravity
• The universe seen at different scales
• On average properties of inhomogeneous fluids in general relativity: Dust cosmologies
• Conditions on a connection to be a metric connection
• A complete cosmological solution to the averaged Einstein field equations as found in macroscopic gravity
• Space–time averages in macroscopic gravity and volume-preserving coordinates
• On average properties of inhomogeneous fluids in general relativity: Perfect fluid cosmologies