Cosmological exact solutions of Petrov type D. A mixture of two fluids: dark energy and radiation
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 solut...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Costa Rica |
| Recursos: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Idioma: | inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/46390 |
| Acesso em linha: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/46390 |
| Access Level: | acceso abierto |
| Palavra-chave: | cosmology exact solution Einstein temperature Hubble deceleration parameter Kretschmann singularity cosmología solución exacta temperatura parámetro de deceleración singularidad |
| Resumo: | 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. |
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