2009
DOI: 10.1007/s10509-009-0169-5
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Anisotropic universe with cosmic strings and bulk viscosity

Abstract: Spatially homogeneous and anisotropic LRS Bianchi type-I string cosmological models are studied in the frame work of general relativity when the source for the energy momentum tensor is a bulk viscous fluid containing one dimensional strings. A barotropic equation of state for the pressure and density is assumed to get determinate solutions of the field equations. The bulk viscous pressure is assumed to be proportional to the energy density. The physical and kinematical properties of the models are discussed. … Show more

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Cited by 49 publications
(42 citation statements)
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“…Therefore, one can conclude that in general relativity accelerating models cannot be achieved for LRSBI models by assuming a linear relationship among the directional Hubble rates. This issue has already been investigated earlier [38,54] and similar results have been obtained. However, in the present work, it is interesting to note that the presence of an evolving Brans-Dicke field modifies the situation and it is possible to get accelerating models even if the directional Hubble rates are proportional to each other.…”
Section: Basic Equationssupporting
confidence: 77%
See 1 more Smart Citation
“…Therefore, one can conclude that in general relativity accelerating models cannot be achieved for LRSBI models by assuming a linear relationship among the directional Hubble rates. This issue has already been investigated earlier [38,54] and similar results have been obtained. However, in the present work, it is interesting to note that the presence of an evolving Brans-Dicke field modifies the situation and it is possible to get accelerating models even if the directional Hubble rates are proportional to each other.…”
Section: Basic Equationssupporting
confidence: 77%
“…LRSBI models are more general than the usual FRW models and are based on exact solutions to the Einstein field equations with homogeneous but anisotropic flat spatial sections. LRSBI models have also been studied widely, in recent times, in different contexts [36][37][38][39][40][41].…”
Section: Introductionmentioning
confidence: 99%
“…The scalar expansion and shear scalar can be taken to be proportional to each other which provides us an anisotropic relation between the directional Hubble rates as H x = kH y [73]. Here, k takes care of the anisotropic nature of the model in the sense that, if k = 0, we get an isotropic universe, otherwise, the model is anisotropic.…”
Section: Dynamics Of An Anisotropic Universe In F (R) Gravitymentioning
confidence: 99%
“…In order to address the issue of the smallness in the angular power spectrum of the temperature anisotropy, plane symmetric models have been proposed in recent times [38,39,40,41]. Plane Symmetric or Locally Rotationally Symmetric Bianchi type I (LRSBI) models have also been studied in different context to address different issues of cosmology [42,43,44,45,46,47,48,49,50]. These models are more interesting in the sense that they are more general then FRW models.…”
Section: Introductionmentioning
confidence: 99%