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

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:
f(R) gravity
cosmology
Planck energies
metric
Online Access:https://www.mdpi.com/2073-8994/13/2/313
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spelling doaj-b32ff1404b8f411e8cccc7d62d9043892021-02-14T00:03:34ZengMDPI AGSymmetry2073-89942021-02-011331331310.3390/sym13020313Sub-Planckian Scale and Limits for f(R) ModelsPolina Petriakova0Arkady Popov1Sergey Rubin2Moscow Engineering Physics Institute, National Research Nuclear University MEPhI, Kashirskoe Shosse 31 , 115409 Moscow, RussiaN. I. Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya Street 18, 420008 Kazan, RussiaMoscow Engineering Physics Institute, National Research Nuclear University MEPhI, Kashirskoe Shosse 31 , 115409 Moscow, RussiaWe 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.https://www.mdpi.com/2073-8994/13/2/313f(R) gravitycosmologyPlanck energiesmetric
collection DOAJ
language English
format Article
sources DOAJ
author Polina Petriakova
Arkady Popov
Sergey Rubin
spellingShingle Polina Petriakova
Arkady Popov
Sergey Rubin
Sub-Planckian Scale and Limits for f(R) Models
Symmetry
f(R) gravity
cosmology
Planck energies
metric
author_facet Polina Petriakova
Arkady Popov
Sergey Rubin
author_sort Polina Petriakova
title Sub-Planckian Scale and Limits for f(R) Models
title_short Sub-Planckian Scale and Limits for f(R) Models
title_full Sub-Planckian Scale and Limits for f(R) Models
title_fullStr Sub-Planckian Scale and Limits for f(R) Models
title_full_unstemmed Sub-Planckian Scale and Limits for f(R) Models
title_sort sub-planckian scale and limits for f(r) models
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2021-02-01
description 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.
topic f(R) gravity
cosmology
Planck energies
metric
url https://www.mdpi.com/2073-8994/13/2/313
work_keys_str_mv AT polinapetriakova subplanckianscaleandlimitsforfrmodels
AT arkadypopov subplanckianscaleandlimitsforfrmodels
AT sergeyrubin subplanckianscaleandlimitsforfrmodels
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