On the equation of state of a flat FRW model filled with a bulk viscous fluid
| dc.creator | Belinchón, J. A. | |
| dc.date | 2004-12-19 | |
| dc.date | 2005-11-06 | |
| dc.date.accessioned | 2026-07-07T06:38:11Z | |
| dc.date.available | 2026-07-07T06:38:11Z | |
| dc.description | In this paper, we study the equation of state admissible for a flat FRW models filled with a bulk viscous fluid by using the Lie group method. It is founded that the model admits scaling symmetries iff the bulk viscous parameter $γ=1/2$. In this case, it is found that the main quantities follow a power law solution and in particular the bulk viscous pressure $Π$ has the same order of magnitude as the energy density $ρ,$ in such a way that it is possible to formulate the equation of state $Π=\varkappa ρ,$ where $\varkappa \in \mathbb{R}^{-}$ (i.e. is a negative numerical constant)$.$ If we assume such relationship we find again that the model is scale invariant iff $γ=1/2.$ We conclude that the model accepts a scaling symmetry iff $γ=1/2$ and that for this value of the viscous parameter, $Π=\varkappa ρ,$ but the hypothesis $Π=\varkappa ρ$ does not imply $γ=1/2,$ and that the model is scale invariant. | |
| dc.description | 12 pages, Revtex4 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0412092 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0412092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100649 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On the equation of state of a flat FRW model filled with a bulk viscous fluid | |
| dc.type | text |