2015/01/31 by Shynaray Myrzakul, Ratbay Myrzakulov, Lorenzo Sebastiani · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Chaotic #Contraction (grammar) #Cosmology and Gravitation Theories #Curvature #Gravitation #Pulsars and Gravitational Waves Research #Quartic function #Ricci curvature #Scalar curvature #Scalar field #f(R) gravity #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-015-3332-x
published as Eur.Phys.J. C75 (2015) 3, 111 · 19 pages, final version, accepted in EPJC
arxiv created 2015/02/25 · openalex publication_date 2015/03/01 · arxiv updated 2015/09/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we investigate chaotic inflation from a scalar field subjected to a potential in the framework of f(R2, P, Q) -gravity, where we add a correction to Einstein’s gravity based on a function of the square of the Ricci scalar R2 , the contraction of the Ricci tensor P , and the contraction of the Riemann tensor Q . The Gauss–Bonnet case is also discussed. We give the general formalism of inflation, deriving the slow-roll parameters, the e -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.