Abstract
An analysis of the extension of the Hawking-Penrose singularity theorem to Riemann-Cartan U4 space-times with torsion and spin density is undertaken. The minimal coupling principle in U4 is used to formulate a new expression for the convergence condition autoparallels in Einstein-Cartan theory. The Gödel model with torsion is given as an example.
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On leave of absence from Departmento de Fisica Teórica, Instituto de Física, Universidade do Estado do Rio de Janeiro, CEP:20550, RJ, Brazil.
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Garcia de Andrade, L.C. The structure of singularities in space-times with torsion. Found Phys 20, 403–416 (1990). https://doi.org/10.1007/BF00731709
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DOI: https://doi.org/10.1007/BF00731709