×

Plane waves in gauge theories of gravitation. (English) Zbl 0454.35085


MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
35D05 Existence of generalized solutions of PDE (MSC2000)
83C35 Gravitational waves
83E99 Unified, higher-dimensional and super field theories
Full Text: DOI

References:

[1] Weinberg, S. (1974).Rev. Mod. Phys.,46, 255. · doi:10.1103/RevModPhys.46.255
[2] Utiyama, R. (1956).Phys. Rev.,101, 1597. · Zbl 0070.22102 · doi:10.1103/PhysRev.101.1597
[3] Cartan, E. (1923).Ann. Ec. Norm.,40, 325; (1924).41, 1; (1925).42, 17.
[4] DeWitt, B. C. (1964). ?Dynamical Theory of Groups and Fields,? inRelativity, Groups and Topology (Gordon and Breach, New York), Chapters 13 and 24. · Zbl 0148.46102
[5] Utiyama, R., and DeWitt, B. (1962).J. Math. Phys.,3, 608. · Zbl 0105.41502 · doi:10.1063/1.1724264
[6] ’t Hooft, G., and Veltman, M. (1974).Ann. Inst. Henri Poincaré,20, 69.
[7] Stelle, K. S. (1977).Phys. Rev. D,10, 3337.
[8] Slavnov, A. A. (1972).Theor. Math Phys.,10, 99. · doi:10.1007/BF01090719
[9] ’t Hooft, G., and Veltman, M. (1972).Nucl. Phys.,B44, 189. · doi:10.1016/0550-3213(72)90279-9
[10] Yang, C. N. (1974).Phys. Rev. Lett.,35, 445. · Zbl 1329.81278 · doi:10.1103/PhysRevLett.33.445
[11] von der Heyde, P. (1976).Z. Naturforsch.,31a, 1725.
[12] Fairchild, E. E. (1977).Phys. Rev. D,8, 2438. · doi:10.1103/PhysRevD.16.2438
[13] 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).
[14] Ehlers, J., and Kundt, W. (1962). ?Exact Solutions,? inGravitation, Ed. Witten L. (John Wiley, New York).
[15] Trautman, A. (1979).Czech. J. Phys.,B29, 107. · doi:10.1007/BF01603811
[16] Kobayashi, S., and Nomizu, K. (1963).Foundations of Differential Geometry (Interscience, New York), Chap. 1. · Zbl 0119.37502
[17] Lichnerowicz, A. (1955).Théorie globale des connections et des groupes d’holonomie (Cremonese, Roma). · Zbl 0116.39101
[18] Trautman, A. (1973).Symposia Matematica (Academic Press, New York), Vol. 12, p. 139.
[19] Rumpf, H. (1978).Z. Naturforsch.,33a, 1224.
[20] Coleman, S. (1977).Phys. Lett.,70B, 59.
[21] Trautman, A. (1978).Bull Acad. Polon. Sci., Sér. Sci. Phys. Astron.,XXVII, 7.
[22] Lichnerowicz, A. (1958).Géométrie des groupes de transformations (Dunod, Paris), sec. 19.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.