• Bianchi Type-II inflationary models with constant deceleration parameter in general relativity

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      https://www.ias.ac.in/article/fulltext/pram/068/05/0707-0720

    • Keywords

       

      Cosmology; Bianchi space–time; deceleration parameter; inflationary models.

    • Abstract

       

      Einstein's field equations are considered for a locally rotationally symmetric Bianchi Type-II space–time in the presence of a massless scalar field with a scalar potential. Exact solutions of scale factors and other physical parameters are obtained by using a special law of variation for Hubble's parameter that yields a constant value of deceleration parameter. To get inflationary solutions, a flat region is considered in which the scalar potential is constant. Power-law and exponential cases are studied and in both solutions there is an anisotropic expansion of the cosmic fluid, but the fluid has vanishing vorticity. A detailed study of geometrical and kinematical properties of solutions has been carried out.

    • Author Affiliations

       

      C P Singh1 S Kumar1

      1. Department of Applied Mathematics, Delhi College of Engineering, Bawana Road, Delhi 110 042, India
    • Dates

       
  • Pramana – Journal of Physics | News

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