Initial value problem for colliding gravitational plane waves. IV

DOI10.1063/1.529117zbMath0773.35078OpenAlexW4256050730MaRDI QIDQ3977832

F. J. Ernst, Isidore Hauser

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529117

zbMATH Keywords

complex planeFredholm equationunique solutionhomogeneous Hilbert problem

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Integral representations of solutions to PDEs (35C15) PDEs in connection with relativity and gravitational theory (35Q75) Applications of local differential geometry to the sciences (53B50) Gravitational waves (83C35) Riemann-Hilbert problems in context of PDEs (35Q15) Hyperbolic equations on manifolds (58J45)

Related Items (6)

Physical interpretation of vacuum solutions of Einstein's equations. II: Time-dependent solutions ⋮ Asymptotics to all orders of the Euler-Darboux equation in a triangle ⋮ A continuous Riemann–Hilbert problem for colliding plane gravitational waves ⋮ A family of integrable nonlinear equations of hyperbolic type ⋮ Proof of a generalized Geroch conjecture for the hyperbolic Ernst equation ⋮ The Korteweg–de Vries equation on the interval

Cites Work

• On the collision of gravitational plane waves: A class of soliton solutions
• A new type of singularity created by colliding gravitational waves
• Initial value problem for colliding gravitational plane waves. II
• Initial value problem for colliding gravitational plane waves. I
• Colliding gravitational plane waves with noncollinear polarization. I
• Colliding gravitational plane waves with noncollinear polarization. II
• Initial value problem for colliding gravitational plane waves. III
• Colliding gravitational plane waves with noncollinear polarization. III
• A Method for Generating New Solutions of Einstein's Equation. II

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