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Exact scalar field cosmologies in a higher derivative theory

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Abstract

We obtain exact cosmological solutions of a higher derivative theory described by the Lagrangian L=R+2αR 2 in the presence of interacting scalar field. The interacting scalar field potential required for a known evolution of the FRW universe in the framework of the theory is obtained using a technique different from the usual approach to solve the Einstein field equations. We follow here a technique to determine potential similar to that used by Ellis and Madsen in Einstein gravity. Some new and interesting potentials are noted in the presence of R 2 term in the Einstein action for the known behaviours of the universe. These potentials in general do not obey the slow rollover approximation.

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Authors and Affiliations

  1. Physics Department, North Bengal University, District Darjeeling 734, 430, Siliguri, India

    BC Paul

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  1. BC Paul
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Paul, B. Exact scalar field cosmologies in a higher derivative theory. Pramana - J Phys 53, 833–841 (1999). https://doi.org/10.1007/s12043-999-0116-6

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  • DOI: https://doi.org/10.1007/s12043-999-0116-6

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