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Symmetry 2015, 7(1), 220-240; https://doi.org/10.3390/sym7010220

Inflationary Cosmology in Modified Gravity Theories

1
Leading Graduate School Promotion Center, Ochanomizu University, Tokyo 112-8610, Japan
2
Department of Physics, Graduate School of Humanities and Sciences, Ochanomizu University, Tokyo 112-8610, Japan
3
Consejo Superior de Investigaciones Científicas, ICE/CSIC-IEEC, Campus UAB, Facultat de Ciències, Torre C5-Parell-2a pl, E-08193 Bellaterra (Barcelona), Spain
4
Institució Catalana de Recerca i Estudis Avançats (ICREA), Passeig Lluís Companys,23-08010 Barcelona, Spain
5
Tomsk State Pedagogical University, 634061 Tomsk, Russia
*
Author to whom correspondence should be addressed.
Academic Editor: Yasunori Nomura
Received: 7 February 2015 / Revised: 27 February 2015 / Accepted: 2 March 2015 / Published: 9 March 2015
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Abstract

We review inflationary cosmology in modified gravity such as R2 gravity with its extensions in order to generalize the Starobinsky inflation model. In particular, we explore inflation realized by three kinds of effects: modification of gravity, the quantum anomaly, and the R2 term in loop quantum cosmology. It is explicitly demonstrated that in these inflationary models, the spectral index of scalar modes of the density perturbations and the tensor-to-scalar ratio can be consistent with the Planck results. Bounce cosmology in F(R) gravity is also explained. View Full-Text
Keywords: dark energy; cosmology; particle-theory and field-theory models of the early Universe; modified theories of gravity; models beyond the standard model; loop quantum gravity; quantum geometry; spin foams; mathematical and relativistic aspects of cosmology dark energy; cosmology; particle-theory and field-theory models of the early Universe; modified theories of gravity; models beyond the standard model; loop quantum gravity; quantum geometry; spin foams; mathematical and relativistic aspects of cosmology
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Bamba, K.; Odintsov, S.D. Inflationary Cosmology in Modified Gravity Theories. Symmetry 2015, 7, 220-240.

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