Decay of solutions of the wave equation in expanding cosmological spacetimes

DOI10.1142/S0219891619500024zbMath1437.35066arXiv1801.08944OpenAlexW3097992644WikidataQ115245207 ScholiaQ115245207MaRDI QIDQ5237470

João L. Costa, José Natário, Pedro Oliveira

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/1801.08944

zbMATH Keywords

general relativityFLRW modelsReissner-Nordström-De Sitter solutionSchwarzschild-De Sitter solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Relativistic cosmology (83F05) Black holes (83C57) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45)

Related Items (8)

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 ⋮ Decay of solutions to the Klein-Gordon equation on some expanding cosmological spacetimes ⋮ Semilinear wave equations on accelerated expanding FLRW spacetimes ⋮ 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. ⋮ Cosmic no-hair in spherically symmetric black hole spacetimes

Cites Work

• Unnamed Item
• Unnamed Item
• Microlocal analysis for waves propagating in Einstein \& de Sitter spacetime
• Asymptotics of solutions of the Einstein equations with positive cosmological constant
• Fundamental solutions of the wave equation in Robertson-Walker spaces
• Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric
• Bounded energy waves on the black hole interior of Reissner-Nordström-de Sitter
• Global results for linear waves on expanding Kerr and Schwarzschild de Sitter cosmologies
• Cosmic no-hair in spherically symmetric black hole spacetimes
• Asymptotics of linear waves and resonances with applications to black holes
• Exponential energy decay for Kerr-de Sitter black holes beyond event horizons
• Spherical linear waves in de Sitter spacetime
• On the initial value problem for the wave equation in Friedmann–Robertson–Walker space–times
• Linear systems of wave equations on cosmological backgrounds with convergent asymptotics
• A note on wave equation in Einstein and de Sitter space-time
• Asymptotics of Solutions of the Wave Equation on de Sitter-Schwarzschild Space
• General Relativity

This page was built for publication: Decay of solutions of the wave equation in expanding cosmological spacetimes