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Power-Law Expansion and Scalar Field Cosmology in Higher Derivative Theory

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Abstract

In this paper we study the evolution of a flat Friedmann-Robertson-Walker model filled with a perfect fluid and a scalar field minimally coupled to gravity in higher derivative theory of gravitation. Exact solution of the field equations are obtained by the assumption of power-law form of the scale factor. A number of evolutionary phases of the universe including the present accelerating phase are found to exist with scalar field in the higher derivative theory of gravitation. The properties of scalar field and other physical parameters are discussed in detail. We find that the equation of state parameter for matter and scalar field are same at late time in each case. We observe that a higher derivative term can hardly be a candidate to describe the presently observed accelerated expansion. It is only the hypothetical fluids, which provide the late time acceleration. It is also remarkable that the higher derivative theory does not effect the radiating model of scalar field cosmology.

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Authors and Affiliations

  1. Department of Applied Mathematics, Delhi Technological University (Formerly Delhi College of Engineering), Bawana Road, Delhi, 110 042, India

    C. P. Singh & Vijay Singh

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  1. C. P. Singh
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  2. Vijay Singh
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Correspondence to C. P. Singh.

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Singh, C.P., Singh, V. Power-Law Expansion and Scalar Field Cosmology in Higher Derivative Theory. Int J Theor Phys 51, 1889–1900 (2012). https://doi.org/10.1007/s10773-011-1065-7

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