Abstract
Exact solutions representing pp waves are found in a wide class of gauge theories of gravitation. Algebraic and symmetry properties are investigated and a special case of plane waves is discussed.
Similar content being viewed by others
References
Weinberg, S. (1974).Rev. Mod. Phys.,46, 255.
Utiyama, R. (1956).Phys. Rev.,101, 1597.
Cartan, E. (1923).Ann. Ec. Norm.,40, 325; (1924).41, 1; (1925).42, 17.
DeWitt, B. C. (1964). “Dynamical Theory of Groups and Fields,” inRelativity, Groups and Topology (Gordon and Breach, New York), Chapters 13 and 24.
Utiyama, R., and DeWitt, B. (1962).J. Math. Phys.,3, 608.
't Hooft, G., and Veltman, M. (1974).Ann. Inst. Henri Poincaré,20, 69.
Stelle, K. S. (1977).Phys. Rev. D,10, 3337.
Slavnov, A. A. (1972).Theor. Math Phys.,10, 99.
't Hooft, G., and Veltman, M. (1972).Nucl. Phys.,B44, 189.
Yang, C. N. (1974).Phys. Rev. Lett.,35, 445.
von der Heyde, P. (1976).Z. Naturforsch.,31a, 1725.
Fairchild, E. E. (1977).Phys. Rev. D,8, 2438.
Hehl, F. W., Nitsch, J., and von der Heyde, P. (1980). “Gravitation and Poincaré Gauge Field Theory with Quadratic Lagrangian,” in theG.R.G. Einstein Commemorative Volume, Ed. Held, A. (Plenum, New York).
Ehlers, J., and Kundt, W. (1962). “Exact Solutions,” inGravitation, Ed. Witten L. (John Wiley, New York).
Trautman, A. (1979).Czech. J. Phys.,B29, 107.
Kobayashi, S., and Nomizu, K. (1963).Foundations of Differential Geometry (Interscience, New York), Chap. 1.
Lichnerowicz, A. (1955).Théorie globale des connections et des groupes d'holonomie (Cremonese, Roma).
Trautman, A. (1973).Symposia Matematica (Academic Press, New York), Vol. 12, p. 139.
Rumpf, H. (1978).Z. Naturforsch.,33a, 1224.
Coleman, S. (1977).Phys. Lett.,70B, 59.
Trautman, A. (1978).Bull Acad. Polon. Sci., Sér. Sci. Phys. Astron.,XXVII, 7.
Lichnerowicz, A. (1958).Géométrie des groupes de transformations (Dunod, Paris), sec. 19.
Author information
Authors and Affiliations
Additional information
The work reported in this paper was carried out as part of the Polish Research Project MR-I-7.
Rights and permissions
About this article
Cite this article
Adamowicz, W. Plane waves in gauge theories of gravitation. Gen Relat Gravit 12, 677–691 (1980). https://doi.org/10.1007/BF00771860
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00771860