The phase-space view of non-local gravity cosmology

We consider non-local Integral Kernel Theories of Gravity in a homogeneous and isotropic universe background as a possible scenario to drive the cosmic history. In particular, we investigate the cosmological properties of a gravitational action containing the inverse d'Alembert operator of the...

Full description

Bibliographic Details
Main Authors: Salvatore Capozziello, Rocco D'Agostino, Orlando Luongo
Format: Article
Language:English
Published: Elsevier 2022-11-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269322006098
_version_ 1798029167688679424
author Salvatore Capozziello
Rocco D'Agostino
Orlando Luongo
author_facet Salvatore Capozziello
Rocco D'Agostino
Orlando Luongo
author_sort Salvatore Capozziello
collection DOAJ
description We consider non-local Integral Kernel Theories of Gravity in a homogeneous and isotropic universe background as a possible scenario to drive the cosmic history. In particular, we investigate the cosmological properties of a gravitational action containing the inverse d'Alembert operator of the Ricci scalar proposed to improve Einstein's gravity at both high and low-energy regimes. In particular, the dynamics of a physically motivated non-local exponential coupling is analyzed in detail by recasting the cosmological equations as an autonomous system of first-order differential equations with dimensionless variables. Consequently, we study the phase-space domain and its critical points, investigating their stability and main properties. In particular, saddle points and late-time cosmological attractors are discussed in terms of the free parameters of the model. Finally, we discuss the main physical consequences of our approach in view of dark energy behavior and the ΛCDM model.
first_indexed 2024-04-11T19:19:55Z
format Article
id doaj.art-6df1027a5507415db1f211242f558a55
institution Directory Open Access Journal
issn 0370-2693
language English
last_indexed 2024-04-11T19:19:55Z
publishDate 2022-11-01
publisher Elsevier
record_format Article
series Physics Letters B
spelling doaj.art-6df1027a5507415db1f211242f558a552022-12-22T04:07:19ZengElsevierPhysics Letters B0370-26932022-11-01834137475The phase-space view of non-local gravity cosmologySalvatore Capozziello0Rocco D'Agostino1Orlando Luongo2Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Via Cinthia 9, 80126 Napoli, Italy; Scuola Superiore Meridionale, Largo S. Marcellino 10, 80138 Napoli, Italy; Istituto Nazionale di Fisica Nucleare (INFN), Sez. di Napoli, Via Cinthia 9, 80126 Napoli, Italy; Corresponding author.Scuola Superiore Meridionale, Largo S. Marcellino 10, 80138 Napoli, Italy; Istituto Nazionale di Fisica Nucleare (INFN), Sez. di Napoli, Via Cinthia 9, 80126 Napoli, ItalyDipartimento di Matematica, Università di Pisa, Largo B. Pontecorvo, 56127 Pisa, Italy; Università di Camerino, Divisione di Fisica, Via Madonna delle carceri, 62032 Camerino, Italy; NNLOT, Al-Farabi Kazakh National University, Al-Farabi av. 71, 050040 Almaty, KazakhstanWe consider non-local Integral Kernel Theories of Gravity in a homogeneous and isotropic universe background as a possible scenario to drive the cosmic history. In particular, we investigate the cosmological properties of a gravitational action containing the inverse d'Alembert operator of the Ricci scalar proposed to improve Einstein's gravity at both high and low-energy regimes. In particular, the dynamics of a physically motivated non-local exponential coupling is analyzed in detail by recasting the cosmological equations as an autonomous system of first-order differential equations with dimensionless variables. Consequently, we study the phase-space domain and its critical points, investigating their stability and main properties. In particular, saddle points and late-time cosmological attractors are discussed in terms of the free parameters of the model. Finally, we discuss the main physical consequences of our approach in view of dark energy behavior and the ΛCDM model.http://www.sciencedirect.com/science/article/pii/S0370269322006098
spellingShingle Salvatore Capozziello
Rocco D'Agostino
Orlando Luongo
The phase-space view of non-local gravity cosmology
Physics Letters B
title The phase-space view of non-local gravity cosmology
title_full The phase-space view of non-local gravity cosmology
title_fullStr The phase-space view of non-local gravity cosmology
title_full_unstemmed The phase-space view of non-local gravity cosmology
title_short The phase-space view of non-local gravity cosmology
title_sort phase space view of non local gravity cosmology
url http://www.sciencedirect.com/science/article/pii/S0370269322006098
work_keys_str_mv AT salvatorecapozziello thephasespaceviewofnonlocalgravitycosmology
AT roccodagostino thephasespaceviewofnonlocalgravitycosmology
AT orlandoluongo thephasespaceviewofnonlocalgravitycosmology
AT salvatorecapozziello phasespaceviewofnonlocalgravitycosmology
AT roccodagostino phasespaceviewofnonlocalgravitycosmology
AT orlandoluongo phasespaceviewofnonlocalgravitycosmology