6533b860fe1ef96bd12c3120

RESEARCH PRODUCT

f(R) constant-roll inflation

Alexei A. StarobinskyAlexei A. StarobinskyHayato Motohashi

subject

High Energy Physics - TheoryCosmology and Nongalactic Astrophysics (astro-ph.CO)Physics and Astronomy (miscellaneous)General relativityScalar (mathematics)FOS: Physical scienceslcsh:AstrophysicsGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum Cosmologysymbols.namesakeGeneral Relativity and Quantum Cosmology0103 physical scienceslcsh:QB460-466lcsh:Nuclear and particle physics. Atomic energy. RadioactivityEinstein010306 general physicsParametric equationEngineering (miscellaneous)Mathematical physicsPhysicsInflation (cosmology)010308 nuclear & particles physicsFunction (mathematics)High Energy Physics - Theory (hep-th)Metric (mathematics)symbolslcsh:QC770-798Constant (mathematics)Astrophysics - Cosmology and Nongalactic Astrophysics

description

The previously introduced class of two-parametric phenomenological inflationary models in General Relativity in which the slow-roll assumption is replaced by the more general, constant-roll condition is generalized to the case of $f(R)$ gravity. A simple constant-roll condition is defined in the original Jordan frame, and exact expressions for a scalaron potential in the Einstein frame, for a function $f(R)$ (in the parametric form) and for inflationary dynamics are obtained. The region of the model parameters permitted by the latest observational constraints on the scalar spectral index and the tensor-to-scalar ratio of primordial metric perturbations generated during inflation is determined.

10.1140/epjc/s10052-017-5109-xhttp://link.springer.com/article/10.1140/epjc/s10052-017-5109-x