An exact Bianchi type-V tilted cosmological model with matter and an electromagnetic field

Physics

Scientific paper

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Astronomical Models, Cosmology, Electromagnetic Fields, Matter (Physics), Einstein Equations, Maxwell Equation, Tensor Analysis

Scientific paper

A solution of the source-free Einstein-Maxwell equations is presented for a locally rotationally symmetric tilted Bianchi type-V cosmological model with stiff matter and an electromagnetic null field. The Cartan calculus of differential forms is used to obtain the components of the Ricci and Einstein tensors which correspond to a hypersurface of homogeneity of uniform negative curvature. The solution to the field equations is derived in parametric form, and it is shown that the hyperbolic tilt angle, by which the fluid flow vector deviates from the normal to the hypersurfaces of homogeneity, increases monotonically from an initial nonzero value with time. Finally, analysis of the singularity structure, anisotropy and electromagnetic field energy density/density ratio of the tilted model with stiff matter and an electromagnetic null field reveal it to be very similar to a model in which no tilt is present.

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