Prog. Theor. Phys. Vol. 87 No. 3 (1992) pp. 583-598
A Charged Kerr Metric Solution in New General Relativity
Department of Physics, Osaka City University, Osaka 558
(Received November 8, 1991)
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.
DOI : 10.1143/PTP.87.583
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Citing Article(s) :
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