Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 78 No. 1 (1987) pp. 16-21

[ Full Text PDF (244K) ]  [ Buy This Article ]

Letters

Mass and Spin of Exact Solutions of the Poincaré Gauge Theory

Peter Baeckler, Ralf Hecht, Friedrich W. Hehl and Takeshi Shirafuji*

Institute for Theoretical Physics, University of Cologne, D-5000 Köln 41
*Physics Department, Saitama University, Urawa 338

(Received March 23, 1987)

Abstract:

We calculate the mass and spin of exact solutions of the Poincaré gauge theory, which asymptotically go over to a de Sitter space of constant curvature. Using certain energy-momentum and spin complexes in suitable frames, we find that the total mass of a spherically symmetric solution is just equal to the mass parameter of the solution, whereas the total spin vanishes.


URL : http://ptp.ipap.jp/link?PTP/78/16/
DOI : 10.1143/PTP.78.16

[ Full Text PDF (244K) ]  [ Buy This Article ]  Citation:


References:

  1. T. W. B. Kibble, J. Math. Phys. 2 (1961), 212[AIP Scitation].
    K. Hayashi, Prog. Theor. Phys. 39 (1968), 494[IPAP].
    K. Hayashi and A. Bregman, Ann. of Phys. 75 (1973), 562[CrossRef].
    F. W. Hehl, P. von der Heyde, G. D. Kerlick and J. M. Nester, Rev. Mod. Phys. 48 (1976), 393[APS].
    Earlier references are quoted therein.
    K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 64 (1980), 866[IPAP]; ibid. 64 (1980), 883[IPAP]; ibid. 65 (1981), 525[IPAP].
    R. P. Wallner, Acta Phys. Austr. 54 (1982), 165.
    J. D. McCrea, Invited Lecture at the 14th International Conference on Differential Geometric Methods in Mathematical Physics, Unversity of Salamanca, Spain, 1985.
    T. Kawai, Gen. Rel. Grav. 18 (1986), 995; Prog. Theor. Phys. 76 (1986), 1166[IPAP].
    E. M. Mielke, Geometrodynamics of Gauge Fields–On the Geometry of Yang-Mills and Gravitational Gauge Theories (Akademie-Verlag, Berlin, 1987), in press.
  2. K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 73 (1985), 54[IPAP].
    See also T. Nakano and T. Ohtani, Prog. Theor. Phys. Suppl. No. 86 (1986), 297[IPAP].
  3. P. Baeckler and F. W. Hehl, in From SU(3) to Gravity–Festschrift for Yuval Ne'eman, ed. E. Gotsman and G. Tauber (Cambridge Univ. Press., Cambridge, 1985).
  4. F. W. Hehl, in Proceedings of the 6th Course of the International School of Cosmology and Gravitation in Erice: On Spin, Torsion, and Supergravity, ed. P. G. Bergmann and V. de Sabbata (Plenum, New York, 1980).
    P. von der Heyde, Phys. Lett. 58A (1976), 141; Zeitschr. Naturf. 31a (1976), 1725.
  5. P. Baeckler, F. W. Hehl and E. W. Mielke, in Proceedings of the 4th Marcel Grossmann Meeting on General Relativity, ed. R. Ruffini (Elsevier Science Publisher, Amsterdam, 1986), p. 277.
  6. P. Baeckler, Phys. Lett. 99B (1981), 329.
  7. C. H. Lee, Phys. Lett. 130B (1983), 257.
  8. E. Schrüfer, F. W. Hehl and J. D. McCrea, Gen. Rel. Grav. 19 (1987), 197.
    J. D. McCrea, in Classical General Relativity, Proceedings of the Conference on Classical (Nonquantum) General Relativity in London, ed. W. G. Bonnor et al. (Cambridge Univ. Press, Cambridge, 1984).
  9. See R. Adler, M. Bazin and M. Schiffer, Introduction to General Relativity, 2nd edition (McGraw Hill, New York, 1975).
  10. K. Hayashi and T. Shirafuji, Phys. Rev. D19 (1979), 3524[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 80 No. 4 (1988) pp. 711-730 :
    Gauge Theory of Gravitation
    Takeshi Shirafuji and Masahumi Suzuki
  2. Progress of Theoretical Physics Vol. 94 No. 5 (1995) pp. 915-929 :
    Generators of Internal Lorentz Transformations and of General Affine Coordinate Transformations in Teleparallel Theory of (2 + 1)-Dimensional Gravity
    Toshiharu Kawai