Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

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Cosmological exact solutions of Petrov type D. A mixture of two fluids: dark energy and radiation
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Keywords

cosmology
exact solution
Einstein
temperature
Hubble
deceleration parameter
Kretschmann
singularity
cosmología
solución exacta
Einstein
temperatura
Hubble
parámetro de deceleración
Kretschmann
singularidad

How to Cite

Angulo Sibaja, A. A., Alvarado Marín, R., & Vargas Obando, M. (2022). Cosmological exact solutions of Petrov type D. A mixture of two fluids: dark energy and radiation. Revista De Matemática: Teoría Y Aplicaciones, 29(2), 225–238. https://doi.org/10.15517/rmta.v29i2.46390

Abstract

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 expansion 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 represent on them are determined and analyzed. Additionally, their temperature and the role that both play on this magnitude are determined.

https://doi.org/10.15517/rmta.v29i2.46390
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