Interacting Holographic Dark Energy, Future Singularity and Polytropic Gas Model of Dark Energy in Closed FRW Universe

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• 作者：Sanjay Sarkar
• 关键词：FRW line element ; Holographic dark energy ; Polytropic gas ; Wormhole ; Big trip and big rip
• 刊名：International Journal of Theoretical Physics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：55
• 期：1
• 页码：481-494
• 全文大小：335 KB
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• 作者单位：Sanjay Sarkar (1)
  
  1. Department of Mathematics, Kaziranga English Academy, Garchuk, Guwahati-35, India
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

The present work deals with the accretion of two interacting fluids: dark matter and a hypothetical fluid as the holographic dark energy components onto wormhole in a non-flat FRW universe. First of all, following Cruz et al. (Phys. Lett. B 669, 271 2008), we obtained an exact solution of the Einstein’s field equations. Solution describes effectively the actual acceleration and indicates a big rip type future singularity of the universe. After that we have studied the evolution of the mass of wormhole embedded in this FRW universe in order to reproduce a stable universe protected against future-time singularity. We found that the accretion of these dark components leads to a gradual increase of wormhole mass. It is also observed that contrary to the case as shown by Cruz et al. (Phys. Lett. B 669, 271 2008), the big rip singularity of the universe with a divergent Hubble parameter of this dark energy model may be avoided by a big trip. We have established a correspondence between the holographic dark energy with the polytropic gas dark energy model and obtained the potential as well as dynamics of the scalar field which describes the polytropic cosmology. Keywords FRW line element Holographic dark energy Polytropic gas Wormhole Big trip and big rip