Holographic dark energy model with variable deceleration parameter, cosmic coincidence and the future singularity of the Kantowski-Sachs universe

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• 作者：Sanjay Sarkar (1)
  
• 关键词：Kantowski ; Sachs space time ; Linearly varying deceleration parameter ; Holographic dark energy ; Coincidence problem and big rip singularity
• 刊名：Astrophysics and Space Science
• 出版年：2014
• 出版时间：May 2014
• 年：2014
• 卷：351
• 期：1
• 页码：361-369
• 全文大小：498 KB
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• 作者单位：Sanjay Sarkar (1)
  
  1. Department of Mathematics, Kaziranga English Academy, Guwahati, 35, India
  
• ISSN：1572-946X

文摘

The present work deals with a spatially homogeneous and anisotropic Kantowski-Sachs space time filled with two minimally interacting fluids; dark matter and a hypothetical anisotropic fluid as the holographic dark energy components. To obtain an exact solution of the Einstein’s field equations, we used the assumption of linearly varying deceleration parameter. We have investigated geometric and kinematic properties of the model and the role of the anisotropic holographic dark energy in the evolution of the Kantowski-Sachs universe. Under the suitable condition, it is observed that the anisotropy parameter of the universe and the skewness parameter of the holographic dark energy approaches to zero for large cosmic time and the universe can achieve flatness for some particular moments throughout its entire lifetime. Results show that the coincidence parameter $( \Re= \frac{\rho_{\varLambda}}{\rho_{M}} )$ increases with increasing time and a big rip type future singularity will occur for this model. We have also applied the statefinder diagnostics method to study the behavior of different stages of the universe and to differentiate the proposed dark energy model from the ΛCDM model. Since in this model, the universe has a finite life time and passes through a significant time when the dark energy and the matter energy densities are roughly comparable, so considering $\frac{1}{ \Re_{0}} <\Re < \Re_{0}$ , where ?sub class="a-plus-plus">0 is any fixed ratio, we have calculated the fraction of total life time of the universe when the universe passes through the coincidental stage for this future singularity. The results are found to be consistent with recent cosmological observations.