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Influence of intrinsic spin in the formation of singularities for inhomogeneous effective dust space-times
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The evolution of inhomogeneous space-times composed of uncharged fermions is studied for Szekeres metrics which have no Killing vectors, in general. Using the Einstein-Cartan theory to include the effects of (intrinsic) matter spin in General Relativity, the dynamics of a perfect fluid with non-null spin degrees of freedom is considered. It is shown that, if the matter is composed by effective dust and certain constraints on the initial data are verified, a singularity will not form. Various special cases are discussed, such as Lema\^itre-Tolman-Bondi and Bianchi I space-times, where the results are further extended or shown explicitly to be verified.
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Cited by 2 Pith papers
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Singularity theorems and the inclusion of torsion in affine theories of gravity
The authors prove new focusing and singularity theorems for Lorentzian manifolds with torsion, covering accelerated time-like and null curves, perfect fluids, and scalar fields.
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For a class of hyperfluid models in metric-affine gravity, the FLRW evolution of H(t) and rho(t) keeps the general relativity form, with hypermomentum effects encoded only in modified barotropic indices.
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