We apply the 1+1+2 covariant semitetrad 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.

Anisotropic two-fluid stellar objects in general relativity

Carloni S.;Dunsby P.
2022-01-01

Abstract

We apply the 1+1+2 covariant semitetrad 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/1156820
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