The rigorous solution for cylindrical gravitational waves is given. For the convenience of the reader the theory of gravitational waves and their production, already known in principle, is given in the first part of this paper.After encountering relationships which cast doubt on the existence of rigorous solutions for undulatory gravitational fields, we investigate rigorously the case of cylindrical gravitational waves. It turns out that rigorous solutions exist and that the problem reduces to the usual cylindrical waves in euclidean space.
arXiv: General Relativity and Quantum CosmologyPhysics::General Physics
free text keywords: Control and Systems Engineering, Signal Processing, Computer Networks and Communications, Applied Mathematics, Gravitational acceleration, Speed of gravity, Gravitational wave, Gravitational field, Euclidean space, Classical mechanics, Gravity Probe A, Cylinder, Physics, Gravitational redshift