Gravitational waves

APR 01, 1968

The search for gravitational radiation is snowballing with innovations in technique and technology. To measure radiation one can now use masses small enough to fit in a laboratory or large enough to be the earth or moon.

DOI: 10.1063/1.3034919

Joseph Weber

IN THE SECOND “golden” decade of this century Albert Einstein unified physics and geometry and fulfilled a long cherished dream of Karl Friedrich Gauss, Bernhard Riemann and William K. Clifford. This geometrical theory of gravitation had “magnetic” types of velocity‐dependent forces and a finite velocity of gravitational interactions; it apparently predicted gravitational radiation. The equations describe gravitation in terms of the curvature of space‐time. Riemann gave the concept of the curvature of n‐dimensional space as a logical generalization of the concept of curvature of a two‐dimensional surface. Radii of curvature for such a surface are easy to visualize. There is a simple connection (given in the box on p. 39) between these radii and the sum of the angles of a small triangle made up of geodesic lines (figure 1).

This article is only available in PDF format

References

1. A. Einstein, Ann. Physik 49, 769 (1916).https://doi.org/ANPYA2
2. J. Weber, General Relativity and Gravitational Waves, Interscience, New York (1961), chap. 8.
3. A. Einstein, Sitzungsberichte Pruss. Acad. Wiss., p. 688 (1916);
p. 154 (1918).
4. A. S. Eddington, Proc. Roy. Soc. (London) A102, 268 (1923).https://doi.org/PRLAAZ
5. F. J. Dyson, chap. 12 in Interstellar Communication, A. G. W. Cameron, ed., W. A. Benjamin, New York (1963).
6. J. Weber, Phys. Rev. Letters 17, 1228 (1966).https://doi.org/PRLTAO
7. J. Weber, Phys. Rev. Letters 18, 418 (1967).https://doi.org/PRLTAO
8. J. Sinsky, J. Weber, Phys. Rev. Letters 18, 795 (1967).https://doi.org/PRLTAO
9. B. Block, R. Moore, J. Geophys. Res. 71, 4361 (1966); https://doi.org/JGREA2
N. Clarkson, L. LaCoste, Trans. A.G.U. 38, 8 (1957).
10. J. Weber, J. Larson, J. Geophys. Res. 71, 6005 (1966).https://doi.org/JGREA2
11. A. Einstein, Science 84, 506 (1936).https://doi.org/SCIEAS
12. S. Liebes, Phys. Rev. 133, B835 (1964).https://doi.org/PHRVAO
13. D. M. Zipoy, Phys. Rev. 142, 825 (1966).https://doi.org/PHRVAO

More about the authors

Joseph Weber, University of Maryland.