Abstract

ALVARADO MARIN, Rodrigo; ANGULO SIBAJA, Andrés A.  and  VARGAS OBANDO, Mauricio. Cosmological exact solutions of Petrov type D. a mixture of two fluids: dark energy and radiation. Rev. Mat [online]. 2022, vol.29, n.2, pp.225-238. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v29i2.46390.

In this paper, two exact solutions of the Einstein's equations are obtained for an anisotropic and homogeneous symmetry of Petrov Type D, the difference between both solutions lies in how relevant is the expansión that is presented initially, either on an axis or on a perpendicular plane. Both solutions represent a mixture of two fluids with minimum interaction: dark energy (P = -µ) and radiation (P = µ/3). The singularities and the influence that these fluids have on this metric are studied; the Hubble parameters, the deceleration parameter and the role that these fluids representon them are determined and analyzed. Additionally, their temperatura and the role that both play on this magnitude are determined.

Keywords : cosmology; exact solution; Einstein; temperature; Hubble; deceleration parameter; Kretschmann; singularity..

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