Bianchi I with variable $G$ and $Λ$. Self-Similar approach

dc.creatorBelinchón, José Antonio
dc.date2008-09-14
dc.date.accessioned2026-07-07T12:39:44Z
dc.date.available2026-07-07T12:39:44Z
dc.descriptionIn this paper we study how to attack under the self-similarity hypothesis a perfect fluid Bianchi I model with variable $G,$and $Λ,$ but under the condition $\operatorname{div}T\neq0.$ We arrive to the conclusion that: $G$ and $Λ$ are decreasing time functions (the sing of $Λ$ depends on the equation of state), while the exponents of the scale factor must satisfy the conditions $\sum_{i=1}^{3}α_{i}=1$ and $\sum_{i=1}^{3}α_{i}^{2}<1,$ $\forallω\in(-1,1) ,$ relaxing in this way the Kasner conditions. We also show the connection between the behavior of $G$ and the Weyl tensor.
dc.description15 pages. accepted in IJMPA
dc.identifierhttps://arxiv.org/abs/0809.2412
dc.identifierhttp://arxiv.org/abs/0809.2412
dc.identifierInt.J.Mod.Phys.A23:5021-5036,2008
dc.identifierdoi:10.1142/S0217751X08043127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219219
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleBianchi I with variable $G$ and $Λ$. Self-Similar approach
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