Global dynamics and inflationary center manifold and slow-roll approximants

DOI10.1063/1.4906081zbMath1309.83029arXiv1406.0438OpenAlexW2030405018MaRDI QIDQ5499054

Claes Uggla, Artur Alho

Publication date: 11 February 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0438

zbMATH Keywords

center manifoldglobal dynamicsPadé approximantmodified gravityFriedmann-Lemaître-Robertson-Walker cosmology

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Padé approximation (41A21) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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• Asymptotic isotropization in inhomogeneous cosmology
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• Asymptotic self-similarity breaking at late times in cosmology
• Inflationary attractors and their measures
• Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials
• Dynamical Systems in Cosmology

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