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Prog. Theor. Phys. Vol. 71 No. 6 (1984) pp. 1213-1220

[ Full Text PDF : FREE ACCESS (350K) ]

The Kasner Type Universe in New General Relativity

Masayasu Fukui, Junnichi Masukawa and Osamu Miyamura

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

(Received November 28, 1983)

Abstract:

In n + 1 dimensional new general relativity including a cosmological constant based on the Weitzenböck spacetime with absolute parallelism, exact solutions of the gravitational field equations in vacuum for diagonal and space-independent parallel vector fields are found. In usual 3 + 1 dimensional spacetime, these solutions reduce, for example, to the de Sitter and the Kasner solutions in the limiting case ε→0. The parameter ε causes a difference to our solutions from those of general relativity. Especially, for the Kasner solution in new general relativity with the condition ε< 0, there is a solution which gives a model of the universe expanding in all directions. In general relativity, there is no solution of this type.


URL : http://ptp.ipap.jp/link?PTP/71/1213/
DOI : 10.1143/PTP.71.1213

[ Full Text PDF : FREE ACCESS (350K) ] Citation:

References:

  1. R. Utiyama, Phys. Rev. 101 (1956), 1597[APS].
  2. T. W. B. Kibble, J. Math. Phys. 2 (1961), 212[CrossRef].
  3. F. W. Hehl, P. von der Heyde, G. D. Kerlick and J. M. Nester, Rev. Mod. Phys. 48 (1976), 393[APS].
  4. K. Havashi and T. Shirafuji, Phys. Rev. D19 (1979), 3524[APS].
  5. K. Havashi and T. Shirafuji, Prog. Theor. Phys. 64 (1980), 866[PTP].
  6. M. Fukui and K. Hayashi, Prog. Theor. Phys. 66 (1981), 1500[PTP].
  7. M. Fukui and T. Shirafuji, Prog. Theor. Phys. 71 (1984), 1063[PTP].
  8. C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), references cited therein.
  9. A. Chodos and S. Detweiler, Phys. Rev. D21 (1980), 2167[APS].
  10. B. L. Hu and L. Parker, Phys. Rev. D17 (1978), 933[APS].
  11. K. Maeda, Kyoto Univ. Preprint, RIFP-532.
  12. K. Hayashi and T. Shirafuji, Phys. Rev. D24 (1981), 3312[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 72 No. 1 (1984) pp. 98-105 :
    Dynamics of Higher Dimensional Universe Models
    Humitaka Sato
  2. Progress of Theoretical Physics Vol. 76 No. 4 (1986) pp. 938-944 :
    Bianchi Type-I Universe in New General Relativity
    Masayasu Fukui, Junnichi Masukawa and Shinsuke Ogino
  3. Progress of Theoretical Physics Vol. 76 No. 5 (1986) pp. 1166-1176 :
    (3+1)-Structure of Space-Time in \overlinePoincaré Gauge Theory of Gravity
    Toshiharu Kawai

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