Barotropic FRW cosmologies with Chiellini damping
"It is known that barotropic FRW equations written in the conformal time variable can be reduced to simple linear equations for an exponential function involving the conformal Hubble rate. Here, we show that an interesting class of barotropic universes can be obtained in the linear limit of a s...
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2015 |
| Country: | México |
| Institution: | Instituto Potosino de Investigación Científica y Tecnológica |
| Repository: | Repositorio Institucional del IPICYT |
| Language: | English |
| OAI Identifier: | oai:ipicyt.repositorioinstitucional.mx:1010/929 |
| Online Access: | http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/929 |
| Access Level: | Open access |
| Keyword: | info:eu-repo/classification/Autor/Barotropic info:eu-repo/classification/Autor/FRW cosmology info:eu-repo/classification/Autor/Ermakov-Pinney equation info:eu-repo/classification/Autor/Chiellini damping info:eu-repo/classification/cti/1 |
| Summary: | "It is known that barotropic FRW equations written in the conformal time variable can be reduced to simple linear equations for an exponential function involving the conformal Hubble rate. Here, we show that an interesting class of barotropic universes can be obtained in the linear limit of a special type of nonlinear dissipative Ermakov-Pinney equations with the nonlinear dissipation built from Chiellini’s integrability condition. These cosmologies, which evolutionary are similar to the standard ones, correspond to barotropic fluids with adiabatic indices rescaled by a particular factor and have amplitudes of the scale factors inverse proportional to the adiabatic index." |
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