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LRS Bianchi Type-II Inflationary Universe with Massless Scalar Field and Time Varying Λ |
| Raj Bali**, Swati |
| Department of Mathematics, University of Rajasthan, Jaipur 302004, India |
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| Cite this article: |
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Abstract The locally rotationally symmetric (LRS) Bianchi type-II inflationary cosmological model is investigated for massless scalar field with flat potential and time varying Λ. To obtain the deterministic solution, it is assumed that scale factor is a(t)～eHt as we considered previously for Bianchi type-I spacetime and Λ～a?2 as considered by Chen and Wu, where H is the Hubble constant and effective potential V(φ)=const; φ Higg's field. It is shown that such a time varying Λ leads to no conflict with existing observations. However, it does change the predictions of standard cosmology in the matter-dominated phase and alleviates some problems in reconciling observations with the inflationary scenario. The model represents anisotropic spacetime in general. However, the model isotropizes for large values of t and β=3H2, where β is constant. The physical and geometrical aspects of the model in the context of an inflationary scenario is also discussed.
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Received: 18 April 2012
Published: 31 July 2012
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| PACS: |
04.20.-q
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(Classical general relativity)
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04.20.Jb
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(Exact solutions)
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04.20.Cv
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(Fundamental problems and general formalism)
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