Einstein-Rosen metrics generated by the inverse scattering transform
Tóm tắt
The most general Einstein-Rosen solutions obtainable by the inverse scattering transform, using the Levi-Cività metric as seed are analyzed. They can be classified as a family of evolving metrics without a clear physical interpretation and a family representing gravitational waves absorbed and radiated by a massive cylinder. The physical interpretation is based on a perturbative analysis, which shows that the solition waves have a peculiar superluminal effect, on the evaluation of the optical scalars and on Thorne's C energy.
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