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Prog. Theor. Phys. Vol. 79 No. 6 (1988) pp. 1420-1430

[ Full Text PDF : FREE ACCESS (519K) ]

Special Relativistic Limits of \overlinePoincaré Gauge Theory of Gravity

Tetsuo Fukui, Toshiharu Kawai and Hirofumi Saitoh

Department of Physics, Osaka City University, Osaka 558

(Received February 8, 1988)

Abstract:

Special relativistic limit of \overlinePoincaré gauge theory of gravity developed in previous papers is examined by fixing the limiting form of the Higgs-type field ψ= {ψk} to be ψk \conge(0)k µxµ + ψ(0)k with constants e(0)kµ and ψ(0)k. The total dynamical energy-momentum and total spin angular momentum, which are introduced as generators of internal \overlinePoincaré gauge transformation, reduce to the energy-momentum and total angular momentum of matter field in the special relativistic theory of fields, respectively. Their expressions in terms of flux integrals are also discussed. An alternative limiting form of ψ is also considered.


URL : http://ptp.ipap.jp/link?PTP/79/1420/
DOI : 10.1143/PTP.79.1420

[ Full Text PDF : FREE ACCESS (519K) ] Citation:

References:

  1. T. Kawai, Gen. Relat. Grav. 18 (1986), 995; ibid. 19 (1987), 1285E.
  2. T. Kawai, Prog. Theor. Phys. 76 (1986), 1166[PTP].
  3. T. Kawai, Prog. Theor. Phys. 79 (1988), 920[PTP].
  4. K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 64 (1980), 1435[PTP].
  5. T. Kawai and H. Yoshida, Prog. Theor. Phys. 62 (1979), 793[PTP].

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. 81 No. 2 (1989) pp. 280-285 :
    A Note on \overlinePoincaré Gauge Theory of Gravity
    Toshiharu Kawai and Hirofumi Saitoh
  3. Progress of Theoretical Physics Vol. 81 No. 6 (1989) pp. 1119-1123 :
    A Note on \overlinePoincaré Gauge Theory of Gravity
    Toshiharu Kawai and Hirofumi Saitoh
  4. Progress of Theoretical Physics Vol. 82 No. 1 (1989) pp. 183-206 :
    Energy-Momentum and Angular Momentum in \overlinePoincaré Gauge Theory of Gravity and Physical Multiplets of Torsion Fields
    Tetsuo Fukui
  5. Progress of Theoretical Physics Vol. 82 No. 4 (1989) pp. 850-862 :
    Extended Spinor Structure and Exotic Spinor Field in \overlinePoincaré Gauge Theory of Gravity
    Toshiharu Kawai
  6. Progress of Theoretical Physics Vol. 83 No. 5 (1990) pp. 1003-1024 :
    Gravity as a Gauge Theory with Spontaneously Broken Internal Super-Poincaré Symmetry
    Hirofumi Saitoh
  7. Progress of Theoretical Physics Vol. 84 No. 5 (1990) pp. 993-1007 :
    Group of Paths, Holonomy Groups and Nonintegrable Phase Factors in \overlinePoincar é Gauge Theory of Gravity
    Toshiharu Kawai
  8. Progress of Theoretical Physics Vol. 85 No. 4 (1991) pp. 901-926 :
    An Extended New General Relativity as a Reduction of \overlinePoincaré Gauge Theory of Gravity
    Toshiharu Kawai and Naoki Toma
  9. Progress of Theoretical Physics Vol. 88 No. 2 (1992) pp. 291-305 :
    Asymptotic Anti-De Sitter Conditions for Poincaré Gauge Theory
    Roh-Suan Tung, Chun-Hsu Chang, De-Ching Chern and James M. Nester

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