A complete covariant system plus a four-class taxonomy for locally rotationally symmetric spacetimes with Weyssenhoff-fluid torsion, with new Gödel-type, silent, and canonical-vacuum solutions.
On anisotropic two-fluid stellar objects in General Relativity
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abstract
We apply the 1+1+2 covariant semi-tetrad approach to describe a general static and spherically symmetric relativistic stellar object which contains two fluids with anisotropic pressure. The corresponding Tolman-Oppenheimer-Volkoff equations are then obtained in covariant form for the anisotropic case. These equations are used to obtain new exact solutions using direct resolution and reconstruction techniques. Finally, we show that three of the generating theorems known for the single fluid case can also be used to obtain two-fluid solutions from single fluid ones.
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Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification
A complete covariant system plus a four-class taxonomy for locally rotationally symmetric spacetimes with Weyssenhoff-fluid torsion, with new Gödel-type, silent, and canonical-vacuum solutions.