Non-local curvature gravity cosmology via Noether symmetries

We consider extensions of General Relativity based on the non-local function f(R,□−1R), where R is the Ricci curvature scalar and the non-locality is due to the term □−1R. We focus on cosmological minisuperspaces and select viable models by the Noether Symmetry Approach. Then we find viable exact so...

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Main Authors: Adriano Acunzo, Francesco Bajardi, Salvatore Capozziello
Format: Article
Language:English
Published: Elsevier 2022-03-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269322000417
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author Adriano Acunzo
Francesco Bajardi
Salvatore Capozziello
author_facet Adriano Acunzo
Francesco Bajardi
Salvatore Capozziello
author_sort Adriano Acunzo
collection DOAJ
description We consider extensions of General Relativity based on the non-local function f(R,□−1R), where R is the Ricci curvature scalar and the non-locality is due to the term □−1R. We focus on cosmological minisuperspaces and select viable models by the Noether Symmetry Approach. Then we find viable exact solutions pointing out the role of non-locality in cosmology.
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spelling doaj.art-20e847f9cb134278813564479a49c1a82022-12-21T23:48:03ZengElsevierPhysics Letters B0370-26932022-03-01826136907Non-local curvature gravity cosmology via Noether symmetriesAdriano Acunzo0Francesco Bajardi1Salvatore Capozziello2Department of Physics “E. Pancini”, University of Naples “Federico II”, Naples, ItalyDepartment of Physics “E. Pancini”, University of Naples “Federico II”, Naples, Italy; INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126, Naples, ItalyDepartment of Physics “E. Pancini”, University of Naples “Federico II”, Naples, Italy; INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126, Naples, Italy; Scuola Superiore Meridionale, Largo San Marcellino 10, I-80138, Naples, Italy; Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050 Tomsk, Russia; Department of Mathematics, Faculty of Civil Engineering, VSB-Technical University of Ostrava, Ludvika Podeste 1875/17, 708 00 Ostrava-Poruba, Czech Republic; Corresponding author.We consider extensions of General Relativity based on the non-local function f(R,□−1R), where R is the Ricci curvature scalar and the non-locality is due to the term □−1R. We focus on cosmological minisuperspaces and select viable models by the Noether Symmetry Approach. Then we find viable exact solutions pointing out the role of non-locality in cosmology.http://www.sciencedirect.com/science/article/pii/S0370269322000417Non-local gravityNoether symmetriesCosmologyExact solutions
spellingShingle Adriano Acunzo
Francesco Bajardi
Salvatore Capozziello
Non-local curvature gravity cosmology via Noether symmetries
Physics Letters B
Non-local gravity
Noether symmetries
Cosmology
Exact solutions
title Non-local curvature gravity cosmology via Noether symmetries
title_full Non-local curvature gravity cosmology via Noether symmetries
title_fullStr Non-local curvature gravity cosmology via Noether symmetries
title_full_unstemmed Non-local curvature gravity cosmology via Noether symmetries
title_short Non-local curvature gravity cosmology via Noether symmetries
title_sort non local curvature gravity cosmology via noether symmetries
topic Non-local gravity
Noether symmetries
Cosmology
Exact solutions
url http://www.sciencedirect.com/science/article/pii/S0370269322000417
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AT francescobajardi nonlocalcurvaturegravitycosmologyvianoethersymmetries
AT salvatorecapozziello nonlocalcurvaturegravitycosmologyvianoethersymmetries