On gravitational waves

✍ Scribed by A. Einstein; N. Rosen

• Publisher: Elsevier Science
• Year: 1937
• Tongue: English
• Weight: 422 KB
• Volume: 223
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(37)90583-0

✦ Synopsis

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.

I. APPROXIMATE