Bianchi type- \(\mathit{II}\) , <span class="a-plus-plus inline-equation id-i-e

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• 作者：Y. Aditya ; V. U. M. Rao ; M. Vijaya Santhi
• 关键词：Bianchi type ; \(\mathit{II}\) ; \(\mathit{VIII}\) ; and \(\mathit{IX}\) ; ; Modified gravity ; Variable \(\varLambda\) ; ; Perfect fluid
• 刊名：Astrophysics and Space Science
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：361
• 期：2
• 全文大小：879 KB
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• 作者单位：Y. Aditya (1)
  V. U. M. Rao (1)
  M. Vijaya Santhi (1)
  
  1. Department of Applied Mathematics, Andhra University, Visakhapatnam, 530003, India
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy
  
• 出版者：Springer Netherlands
• ISSN：1572-946X

文摘

Spatially homogeneous Bianchi type-\(\mathit{II}\), \(\mathit{VIII}\) and \(\mathit{IX}\) perfect fluid cosmological models in \(f(R,T)\) modified theory of gravity have been investigated for a special choice of \(f(R,T)=f_{1}(R)+f_{2}(T)\) with \(f_{1}(R)=\lambda_{1}R\) and \(f_{2}(T)=\lambda_{2}T\). This special choice leads to a cosmological constant \(\varLambda\), which depends on stress energy tensor of matter source. To get the deterministic model of Universe, we assume that the expansion scalar (\(\theta\)) in the model is proportional to shear scalar (\(\sigma\)). This condition leads to relation between metric potentials, which yields a time dependent deceleration parameter. Various physical and geometrical features of the models are also discussed.