Regular Article - Theoretical Physics
Chaotic inflation in higher derivative gravity theories
Department of General and Theoretical Physics, Eurasian Center for Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan
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Accepted: 25 February 2015
Published online: 7 March 2015
In this paper, we investigate chaotic inflation from a scalar field subjected to a potential in the framework of -gravity, where we add a correction to Einstein’s gravity based on a function of the square of the Ricci scalar , the contraction of the Ricci tensor , and the contraction of the Riemann tensor . The Gauss–Bonnet case is also discussed. We give the general formalism of inflation, deriving the slow-roll parameters, the -fold number, and the spectral indices. Several explicit examples are furnished; namely, we will consider the cases of a massive scalar field and a scalar field with quartic potential and some power-law function of the curvature invariants under investigation in the gravitational action of the theory. A viable approach to inflation according with observations is analyzed.
© SIF and Springer-Verlag Berlin Heidelberg, 2015