Exact scalar field cosmologies in a higher derivative theory |
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Authors: | BC Paul |
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Affiliation: | (1) Physics Department, North Bengal University, District Darjeeling 734, 430 Siliguri, India |
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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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Keywords: | Cosmology higher derivative theory |
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