The wave equation near flat Friedmann–Lemaître–Robertson–Walker and Kasner Big Bang singularities
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Publication:5237482
DOI10.1142/S0219891619500140zbMath1428.35584arXiv1805.12558WikidataQ115245203 ScholiaQ115245203MaRDI QIDQ5237482
Artur Alho, Grigorios Fournodavlos, Anne T. Franzen
Publication date: 18 October 2019
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.12558
Relativistic cosmology (83F05) Space-time singularities, cosmic censorship, etc. (83C75) PDEs in connection with relativity and gravitational theory (35Q75) Blow-up in context of PDEs (35B44) Einstein equations (35Q76)
Related Items (9)
Blow-up of waves on singular spacetimes with generic spatial metrics ⋮ Curvature blow-up and mass inflation in spherically symmetric collapse to a Schwarzschild black hole ⋮ Decay of solutions of the wave equation in cosmological spacetimes—a numerical analysis ⋮ Asymptotically Kasner-like singularities ⋮ A unified approach to the Klein-Gordon equation on Bianchi backgrounds ⋮ Contracting asymptotics of the linearized lapse-scalar field sub-system of the Einstein-scalar field equations ⋮ Generic blow-up results for the wave equation in the interior of a Schwarzschild black hole ⋮ Solutions of the wave equation bounded at the Big Bang ⋮ Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields
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