Sub-Planckian Scale and Limits for f(R) Models

We study the universe evolution starting from the sub-Planckian scale to present times. The requirement for an exponential expansion of the space with the observed metric as a final stage leads to significant restrictions on the parameter values of a function <inline-formula><math xmlns=&qu...

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Bibliographic Details
Main Authors: Polina Petriakova, Arkady Popov, Sergey Rubin
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/2/313
Description
Summary:We study the universe evolution starting from the sub-Planckian scale to present times. The requirement for an exponential expansion of the space with the observed metric as a final stage leads to significant restrictions on the parameter values of a function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>)</mo></mrow></semantics></math></inline-formula>. An initial metric of the universe should be maximally symmetric with the positive curvature.
ISSN:2073-8994