Theory of gravitation on the basis of the Poincare-Weyl gauge group

O.V. Babourova1, B.N. Frolov2 and V.Ch. Zhukovsky3

Abstract

The gauge theory for the Poincaré-Weyl group is constructed. It is shown that tetrads are not true gauge fields, but are functions of the true gauge fields: rotational, translational and dilatational ones. The equations of gauge fields, whose sources are an energy-momentum tensor, orbital and spin momemta as well as a dilatational current of an external field, are obtained. A new direct interaction of the rotational gauge field with the orbital momentum of an external field appears, which describes some new effects connected with the space gyroscope Probe B experiment.

References

  1. E. Cartan, Enseignement, 26, 200 (1928).
  2. T. W. B. Kibble, J. Math. Phys. 2, 212 (1961).
  3. J. M. Charap, W. Tait, Proc. Roy. Soc. 249, A340 (1974).
  4. M. Kasuya, Nuovo Cim. 127, 28B (1975).
  5. O. V. Babourova, B. N. Frolov, and V. Ch. Zhukovsky, Phys. Rev. D 74, 064012 (2006); hep-th/0508088v1.
  6. O. V. Babourova, B. N. Frolov, and V. Ch. Zhukovsky, Theor. Math. Phys. 157(1), 1423 (2008).
  7. B. N. Frolov, in Physical Interpretations of Relativity Theory (Proc. Int. Sci. Meeting PIRT-2003) (Moscow, Liverpool, Sunderland, 2003), p. 213.
  8. B. N. Frolov, Poincare Gauge Theory of Gravity (Publ. House MPGU, Moscow, 2003).
  9. B. N. Frolov, Grav. & Cosmol. 10, N. 1-2, 116 (2004); gr-qc/0507103.
  10. Y. Mao, M. Tegmark, A. Guth, and S. Cabi, Phys. Rev. D 76, 104029 (2007); gr-qc/0608121v3.
  11. B. N. Frolov, in Gravity, Particles and Spacetime, Eds. P. Pronin and G. Sardanashvily (World Scientific, Singapore, 1996), p. 113.
For more information about this paper please visit Springer's Home Page of this paper.



Back to The Contents Page