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Inhomogeneous dark energy and cosmological acceleration

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Abstract

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 (\(p_r = \omega \rho\)) 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 \(\alpha=-\frac{1}{2}\) , the solution represents an accelerated cosmological model ending in a Big Rip stage.

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Authors and Affiliations

  1. Departamento de Física Teórica, Universidade do Estado do Rio de Janeiro (UERJ), Rua São Francisco Xavier 524, Maracanã, CEP 20550-013, Rio de Janeiro, RJ, Brazil

    C. F. C. Brandt, M. A. F. da Silva & Jaime F. Villas da Rocha

  2. Coordenação de Astronomia e Astrofísica, Observatório Nacional, Rua General José Cristino 77, São Cristóvão, CEP 20921-400, Rio de Janeiro, RJ, Brazil

    R. Chan

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  1. C. F. C. Brandt
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  4. Jaime F. Villas da Rocha
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Brandt, C.F.C., Chan, R., Silva, M.A.F.d. et al. Inhomogeneous dark energy and cosmological acceleration. Gen Relativ Gravit 39, 1675–1687 (2007). https://doi.org/10.1007/s10714-007-0477-4

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