The inverse scattering method for cylindrical gravitational waves

Details The inverse scattering method for cylindrical gravitational waves The inverse scattering method for cylindrical gravitational waves

2000-01-10

arxiv.org/abs/gr-qc/0001024v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LaTeX, no figures, discussion added, some misprints corrected

Scientific paper

The initial-value problem for cylindrical gravitational waves is studied through the development of the inverse scattering method scheme. The inverse scattering transform in this case can be viewed as a transformation of the Cauchy data to the data on the symmetry axis. Riemann-Hilbert problem, which serves as inverse transformation, is formulated in two different ways. We consider Einstein-Rosen waves to illustrate the method.

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