ASYMPTOTICS OF LINEARIZED COSMOLOGICAL PERTURBATIONS

DOI10.1142/S0219891610002141zbMath1196.83010arXiv0906.2517MaRDI QIDQ3585517

Alan D. Rendall, Paul T. Allen

Publication date: 20 August 2010

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2517

zbMATH Keywords

energy estimatesasymptotic behaviorcosmologyhyperbolic equations

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Second-order hyperbolic equations (35L10) Equations of motion in general relativity and gravitational theory (83C10) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (7)

Blow-up of waves on singular spacetimes with generic spatial metrics ⋮ Asymptotically Kasner-like singularities ⋮ A unified approach to the Klein-Gordon equation on Bianchi backgrounds ⋮ Generic blow-up results for the wave equation in the interior of a Schwarzschild black hole ⋮ Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields ⋮ The wave equation near flat Friedmann–Lemaître–Robertson–Walker and Kasner Big Bang singularities ⋮ Future non-linear stability for solutions of the Einstein-Vlasov system of Bianchi types II and VI

Cites Work

• Asymptotics of solutions of the Einstein equations with positive cosmological constant
• Asymptotic behaviour of the gravitational field and the nature of singularities in Gowdy spacetimes
• Initiation of slime mold aggregation viewed as an instability
• Fuchsian equations in Sobolev spaces and blow-up
• Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity
• The chemical basis of morphogenesis
• Data at the moment of infinite expansion for polarized Gowdy
• On future asymptotics of polarized Gowdy   ³ -models
• Analytic description of singularities in Gowdy spacetimes
• Physical Foundations of Cosmology
• Quiescent cosmological singularities

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