HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 87 (1992) > Number 3
| Next Article >

Prog. Theor. Phys. Vol. 87 No. 3 (1992) pp. 583-598

[ Full Text PDF : FREE ACCESS (543K) ]

A Charged Kerr Metric Solution in New General Relativity

Toshiharu Kawai and Naoki Toma

Department of Physics, Osaka City University, Osaka 558

(Received November 8, 1991)

Abstract:

We give an exact solution of the gravitational and electromagnetic field equations with a charged rotating source in new general relativity. The solution has three parameters Q, h and a, and it gives a charged Kerr metric space-time. The parallel vector fields and the electromagnetic vector potential are axially symmetric. In this space-time, we cannot discriminate new general relativity from general relativity, so far as scalar, the Dirac and the Yang-Mills fields and macroscopic bodies are used as probes. The space-time does not have singularities at all, although it has an “effective singularity”. Two kinds of Reissner-Nordström metric solutions, one is our solution with h = 0 and the other is a solution given by Hayashi and Shirafuji, are physically equivalent with each other. Nevertheless, these are markedly different from each other with regard to the asymptotic behavior of the torsion tensor for r →∞ and the space-time singularities.


URL : http://ptp.ipap.jp/link?PTP/87/583/
DOI : 10.1143/PTP.87.583

[ Full Text PDF : FREE ACCESS (543K) ] Citation:

References:

  1. K. Hayashi and T. Nakano, Prog. Theor. Phys. 38 (1967), 491[PTP].
  2. K. Hayashi and T. Shirafuji, Phys. Rev. D19 (1979), 3524[APS].
  3. N. Toma, Prog. Theor. Phys. 86 (1991), 659[PTP].
  4. E. T. Newman, E. Couch, K. Chinnapared, A. Exton, A. Prakash and R. Torrence, J. Math. Phys. 6 (1965), 918[CrossRef].
  5. R. J. Finkelstein, J. Math. Phys. 16 (1975), 1271[CrossRef].
  6. R. M. Wald, General Relativity (The University of Chicago Press, Chicago and London, 1984), p. 313.
  7. M. Fukui and K. Hayashi, Prog. Theor. Phys. 66 (1981), 1500[PTP].
  8. K. Hayashi and T. Shirafuji, Phys. Rev. D24 (1981), 3312[APS].
  9. T. Kawai and N. Toma, Prog. Theor. Phys. 83 (1990), 1[PTP].
  10. M. M. Schiffer, R. J. Adler, J. Mark and C. Sheffield, J. Math. Phys. 14 (1973), 52[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 104 No. 3 (2000) pp. 505-530 :
    Generalized Equivalence Principle in Extended New General Relativity
    Toshiharu Kawai, Kaoru Shibata and Izumi Tanaka

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.