Summary
In the framework of gravitational gauge theory with torsion in Weitzenböck space-time, scalar polynomial torsion singularity and scalar Riemann-Christoffel curvature singularity are studied by a static spherical symmetric vacuum solutions. Although the parameter ε = 0, general relativity is recovered in a limit case and there exists torsion singularity at the Schwarzshild radius. Generally, there exists torsion and Riemann-Christoffel curvature singularity without real event horizon.
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References
Hayashi K. andNakano T.,Prog. Theor. Phys.,38 (1967) 491.
Hayashi K. andShirafuji T.,Phys. Rev. D,15 (1979) 3524.
Weinberg S.,Gravitation and Cosmology (Wiley, New York, N.Y.) 1971.
Jin W. X.,Nuovo Cimento B,102 (1988) 343.
Hayashi K. andShirafuji T.,Phys. Rev. D,24 (1981) 3312.
Nitsch J. andHehl F. W.,Phys. Lett. B,90 (1980) 98;Nitsch J., inCosmology and Gravitation, edited byP. G. Bermann andV. De Sabbata (Plenum Press, New York, N.Y.) 1980, p. 63.
Muller-Hoissen F. andNitsch J.,Phys. Rev. D,28 (1983) 718.
Nester J. M. andIsenberg J.,Phys. Rev. D,15 (1977) 2078.
Hawking S. W. andEllis G. R. F.,The Large Scale Structure of Space-time (Cambridge University Press, Cambridge) 1973.
Penrose R.,Riv. Nuovo Cimento,1 (1969) 252.
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Chengmin, Z., Fangpei, C. & de Andrade, L.C.G. Torsion singularity in Weitzenböck space-time. Nuov Cim B 110, 231–236 (1995). https://doi.org/10.1007/BF02741506
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DOI: https://doi.org/10.1007/BF02741506