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String cosmological models from early deceleration to current acceleration phase with varying G and \( \Lambda\)

  • Chanchal ChawlaEmail author
  • R. K. Mishra
  • Anirudh Pradhan
Regular Article

Abstract.

Thepresent study deals with spatially homogeneous and anisotropic Bianchi-I cosmological models representing massive strings with variable G and decaying vacuum energy density \( \Lambda\) . The energy-momentum tensor, as formulated by Letelier (Phys. Rev. D 20, 1294 (1979); Phys. Rev. D 28, 2414 (1983)), has been used to construct massive string cosmological models for which we assume the expansion scalar in the models is proportional to one of the components of shear tensor and barotropic EoS. The Einstein field equations have been solved by considering the time-dependent deceleration parameter which yields a scale factor \( a(t) = (\sinh(\alpha t))^{\frac{1}{n}}\) , where n is a positive constant. For n > 1 , this generates a transition of the Universe from the early decelerating phase to the recent accelerating phase and the transition redshift zt has been calculated. The study reveals that massive strings dominate the early Universe evolving with deceleration and in the later phase they disappear, which is in good agreement with current astronomical observations. The cosmological constant \( \Lambda\) is found to be a positive decreasing function of time which is corroborated by results from recent Supernovae Ia observations. The physical and geometric properties of the models have been also discussed in detail.

Keywords

Cosmological Constant Deceleration Parameter Cosmic String Cosmological Term Massive String 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Chanchal Chawla
    • 1
    Email author
  • R. K. Mishra
    • 1
  • Anirudh Pradhan
    • 2
  1. 1.Department of MathematicsSant Longowal Institute of Engineering and TechnologyLongowalIndia
  2. 2.Department of MathematicsHindu Post-graduate CollegeZamaniaIndia

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