Inhomogeneous dark energy and cosmological acceleration

Mathematics – Logic

Scientific paper

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Scientific paper

We study the evolution of an inhomogeneous fluid with self-similarity of the second kind and anisotropic pressure. We found a class of solution to the Einstein field equations by assuming an equation of state where the radial pressure of the fluid is proportional to its energy density (p_r = ω ρ) and that the fluid moves along time-like geodesics. The equation of state combined with the self-similarity of second kind implies ω = -1. The energy conditions, geometrical and physical properties of the solutions are studied. We have found that, for the self-similar parameter α=-1/2 , the solution represents an accelerated cosmological model ending in a Big Rip stage.

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