On the initial value problem for the wave equation in Friedmann–Robertson–Walker space–times

DOI10.1098/rspa.2014.0361zbMath1327.35366arXiv1404.7457OpenAlexW2055726606WikidataQ51041733 ScholiaQ51041733MaRDI QIDQ2942590

Bilal Abbasi, Walter Craig

Publication date: 11 September 2015

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7457

zbMATH Keywords

wave equationFriedmann-Robertson-Walker space-timesspherical means representation

Mathematics Subject Classification ID

Relativistic cosmology (83F05) PDEs in connection with relativity and gravitational theory (35Q75) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (10)

Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant ⋮ Explicit formulas and decay rates for the solution of the wave equation in cosmological spacetimes ⋮ The mode solution of the wave equation in Kasner spacetimes and redshift ⋮ Critical exponent of Fujita type for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime ⋮ Decay of solutions of the wave equation in cosmological spacetimes—a numerical analysis ⋮ Scale-invariant semilinear damped wave models with mass term and integrable in time speed of propagation. ⋮ Integral Transform Approach to Time-Dependent Partial Differential Equations ⋮ The wave equation in Friedmann-Robertson-Walker space-times and asymptotics of the intensity and distance relationship of a localised source ⋮ Solutions of the wave equation bounded at the Big Bang ⋮ Decay of solutions of the wave equation in expanding cosmological spacetimes

Cites Work

• Huygens' principle for the Klein-Gordon equation in the de Sitter spacetime

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