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Prog. Theor. Phys. Vol. 71 No. 3 (1984) pp. 633-647

[ Full Text PDF : FREE ACCESS (695K) ]

Massless Torsion Fields. I

— The Case α+ 2a/ 3 ≠0 —

Masayasu Fukui

Department of Applied Mathematics, Faculty of Engineering Science, Osaka University, Toyonaka 560

(Received August 23, 1983)

Abstract:

Gravitational waves in Poincaré gauge theory are systematically examined under special parameter conditions which permit several massless fields. Masses of torsion fields are expressed by combinations of ten parameters, a1 ∼a6, α, β, γ and a, which are contained in gravitational Lagrangian. In the case with α+ 2a/ 3 ≠0, the torsion fields with spin parity=2± must be massive or frozen, 1- or 1+ field can be massless but 0+ or 0- field cannot be taken massless. Under parameter conditions which eliminate the 0+ or 0- field, the gravitational field equations have gauge symmetries which make 1- or 1+ field divergence free, respectively. Requiring positive semi-definiteness of the mass and positivity of the energy of the torsion fields, we obtain multiplets, including massless fields, of the torsion fields which can coexist with each other.


URL : http://ptp.ipap.jp/link?PTP/71/633/
DOI : 10.1143/PTP.71.633

[ Full Text PDF : FREE ACCESS (695K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 73 No. 1 (1985) pp. 75-83 :
    Massless Torsion Fields. II
    Masayasu Fukui and Junnichi Masukawa
  2. Progress of Theoretical Physics Vol. 73 No. 4 (1985) pp. 874-883 :
    Massless Lorentz Gauge Field Consistent with Einstein's Gravitation Theory
    Kazumi Fukuma, Shikao Miyamoto, Tadao Nakano, Teruya Ohtani and Yoshinobu Tamura
  3. Progress of Theoretical Physics Vol. 81 No. 2 (1989) pp. 523-540 :
    A Spinor Approach to Poincaré Gauge Theory
    Shin-ichi Nakariki
  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. 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
  6. Progress of Theoretical Physics Vol. 107 No. 1 (2002) pp. 191-210 :
    Massless Modes of Lorentz Gauge Fields in Poincaré Gauge Theory of Gravity
    Kazumi Fukuma

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