On the cosmological equations in the presence of a spatially homogeneous torsion field

Physics

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Scientific paper

It is shown that Einstein's equations obtained from the Friedmann Ansatz for the metric and an arbitrary cosmological term can be consistently extended on include a spatiall]y homogeneous contorsion field Kabc = ɛ abc K(t), K(t) = η/R(t) η an arbitrary constant. This mechanism which guarantees covariant conservation of the Einstein tensor, amounts to replacing the arbitrary constant. This mechanism which guarantees covariant conservation of the Einstein tensor, amounts to replacing the signature parameter ɛ = ( +1: spherical space, 0: flat space, -1: hyperbolic space) by ɛ1 = ɛ - η2.

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