Initial value problem for colliding gravitational plane waves. I

DOI10.1063/1.528355zbMath0697.35155OpenAlexW4250112630WikidataQ124935645 ScholiaQ124935645MaRDI QIDQ3473547

F. J. Ernst, Isidore Hauser

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528355

zbMATH Keywords

initial value problemEinstein field equationscolliding gravitational plane waves

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Partial differential equations of mathematical physics and other areas of application (35Q99) Gravitational waves (83C35)

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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 ⋮ Initial value problem for colliding gravitational plane waves. IV ⋮ A continuous Riemann–Hilbert problem for colliding plane gravitational waves ⋮ Dispersive shock waves and modulation theory ⋮ The stability of Killing-Cauchy horizons in colliding plane wave space-times ⋮ Colliding wave solutions of the Einstein–Maxwell field equations ⋮ Colliding gravitational waves with Killing–Cauchy horizons ⋮ Initial value problem for colliding gravitational plane waves. II ⋮ Initial value problem for colliding gravitational plane waves. III ⋮ Classical symmetries of some two-dimensional models ⋮ The Euler-Poisson-Darboux equation for relativists

Cites Work

• The initial value problem for colliding gravitational and hydrodynamic waves
• Colliding gravitational plane waves with noncollinear polarization. I
• Colliding gravitational plane waves with noncollinear polarization. II
• Colliding gravitational plane waves with noncollinear polarization. III
• On colliding waves in the Einstein—Maxwell theory

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