Spherical linear waves in de Sitter spacetime

DOI10.1063/1.4721644zbMath1279.83005arXiv1107.0802OpenAlexW2157843932MaRDI QIDQ2862908

Artur Alho, João L. Costa, José Natário

Publication date: 20 November 2013

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

Full work available at URL: https://arxiv.org/abs/1107.0802

zbMATH Keywords

integro-differential evolution equationde Sitter spacetimeEinstein-scalar field equationspherical linear waves

Mathematics Subject Classification ID

Wave equation (35L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Integro-partial differential equations (35R09)

Related Items (9)

Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant ⋮ The problem of a self-gravitating scalar field with positive cosmological constant ⋮ Future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI\(_0\) ⋮ The spherically symmetric Einstein-scalar field system with positive and vanishing cosmological constant: a comparison ⋮ Integral Transform Approach to Time-Dependent Partial Differential Equations ⋮ Global existence of the self-interacting scalar field in the de Sitter universe ⋮ Integral transform approach to solving Klein-Gordon equation with variable coefficients ⋮ Decay of solutions of the wave equation in expanding cosmological spacetimes ⋮ Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates

Cites Work

• Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
• Future stability of the Einstein-non-linear scalar field system
• Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric
• The problem of a self-gravitating scalar field
• On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
• Elliptic partial differential equations of second order
• A proof of Price's law for the collapse of a self-gravitating scalar field
• Linear stability of Schwarzschild under perturbations which are non-vanishing on the bifurcation 2-sphere

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