A continuous Riemann–Hilbert problem for colliding plane gravitational waves
From MaRDI portal
Publication:4592803
DOI10.1088/1361-6382/aa88ddzbMath1373.83021arXiv1701.01296OpenAlexW2602569678MaRDI QIDQ4592803
Stefan Palenta, Reinhard Meinel
Publication date: 8 November 2017
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.01296
Riemann-Hilbert problemexact solutionsgravitational wavesinverse scattering methodcharacteristic initial value problemSzekeres class
Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15) Gravitational waves (83C35)
Related Items
Asymptotics to all orders of the Euler-Darboux equation in a triangle ⋮ The hyperbolic Ernst equation in a triangular domain
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The stability of Killing-Cauchy horizons in colliding plane wave space-times
- Gravitational Solitons
- Initial value problem for colliding gravitational plane waves. II
- Initial value problem for colliding gravitational plane waves. I
- Initial value problem for colliding gravitational plane waves. IV
- Singularities in colliding gravitational plane-wave spacetimes
- Collision of plane gravitational and electromagnetic waves in a Minkowski background: solution of the characteristic initial value problem
- Initial value problem for colliding gravitational plane waves. III
- Progress in relativistic gravitational theory using the inverse scattering method
- Exact Space-Times in Einstein's General Relativity
- Proof of a generalized Geroch conjecture for the hyperbolic Ernst equation