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LRS Bianchi Type II Massive String Cosmological Models with Magnetic Field in Lyra's Geometry

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  • Raj Bali
  • Mahesh Kumar Yadav
  • Lokesh Kumar Gupta

Abstract

Bianchi type II massive string cosmological models with magnetic field and time dependent gauge function ( ) in the frame work of Lyra's geometry are investigated. The magnetic field is in -plane. To get the deterministic solution, we have assumed that the shear ( ) is proportional to the expansion ( ). This leads to , where and are metric potentials and is a constant. We find that the models start with a big bang at initial singularity and expansion decreases due to lapse of time. The anisotropy is maintained throughout but the model isotropizes when . The physical and geometrical aspects of the model in the presence and absence of magnetic field are also discussed.

Suggested Citation

  • Raj Bali & Mahesh Kumar Yadav & Lokesh Kumar Gupta, 2013. "LRS Bianchi Type II Massive String Cosmological Models with Magnetic Field in Lyra's Geometry," Advances in Mathematical Physics, Hindawi, vol. 2013, pages 1-5, October.
  • Handle: RePEc:hin:jnlamp:892361
    DOI: 10.1155/2013/892361
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