Weak cosmic growth in coupled dark energy with a Lagrangian formulation

We investigate a dark energy scenario in which a canonical scalar field ϕ is coupled to the four velocity ucμ of cold dark matter (CDM) through a derivative interaction ucμ∂μϕ. The coupling is described by an interacting Lagrangian f(X,Z), where f depends on X=−∂μϕ∂μϕ/2 and Z=ucμ∂μϕ. We derive stabi...

Full description

Bibliographic Details
Main Authors: Ryotaro Kase, Shinji Tsujikawa
Format: Article
Language:English
Published: Elsevier 2020-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320302045
_version_ 1818305882846396416
author Ryotaro Kase
Shinji Tsujikawa
author_facet Ryotaro Kase
Shinji Tsujikawa
author_sort Ryotaro Kase
collection DOAJ
description We investigate a dark energy scenario in which a canonical scalar field ϕ is coupled to the four velocity ucμ of cold dark matter (CDM) through a derivative interaction ucμ∂μϕ. The coupling is described by an interacting Lagrangian f(X,Z), where f depends on X=−∂μϕ∂μϕ/2 and Z=ucμ∂μϕ. We derive stability conditions of linear scalar perturbations for the wavelength deep inside the Hubble radius and show that the effective CDM sound speed is close to 0 as in the standard uncoupled case, while the scalar-field propagation speed is affected by the interacting term f. Under a quasi-static approximation, we also obtain a general expression of the effective gravitational coupling felt by the CDM perturbation. We study the late-time cosmological dynamics for the coupling f∝X(2−m)/2Zm and show that the gravitational coupling weaker than the Newton constant can be naturally realized for m>0 on scales relevant to the growth of large-scale structures. This allows the possibility for alleviating the tension of σ8 between low- and high-redshift measurements.
first_indexed 2024-12-13T06:33:39Z
format Article
id doaj.art-cd2b93c684e549bc9cf49e945d18980b
institution Directory Open Access Journal
issn 0370-2693
language English
last_indexed 2024-12-13T06:33:39Z
publishDate 2020-05-01
publisher Elsevier
record_format Article
series Physics Letters B
spelling doaj.art-cd2b93c684e549bc9cf49e945d18980b2022-12-21T23:56:34ZengElsevierPhysics Letters B0370-26932020-05-01804Weak cosmic growth in coupled dark energy with a Lagrangian formulationRyotaro Kase0Shinji Tsujikawa1Corresponding author.; Department of Physics, Faculty of Science, Tokyo University of Science, 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162-8601, JapanDepartment of Physics, Faculty of Science, Tokyo University of Science, 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162-8601, JapanWe investigate a dark energy scenario in which a canonical scalar field ϕ is coupled to the four velocity ucμ of cold dark matter (CDM) through a derivative interaction ucμ∂μϕ. The coupling is described by an interacting Lagrangian f(X,Z), where f depends on X=−∂μϕ∂μϕ/2 and Z=ucμ∂μϕ. We derive stability conditions of linear scalar perturbations for the wavelength deep inside the Hubble radius and show that the effective CDM sound speed is close to 0 as in the standard uncoupled case, while the scalar-field propagation speed is affected by the interacting term f. Under a quasi-static approximation, we also obtain a general expression of the effective gravitational coupling felt by the CDM perturbation. We study the late-time cosmological dynamics for the coupling f∝X(2−m)/2Zm and show that the gravitational coupling weaker than the Newton constant can be naturally realized for m>0 on scales relevant to the growth of large-scale structures. This allows the possibility for alleviating the tension of σ8 between low- and high-redshift measurements.http://www.sciencedirect.com/science/article/pii/S0370269320302045
spellingShingle Ryotaro Kase
Shinji Tsujikawa
Weak cosmic growth in coupled dark energy with a Lagrangian formulation
Physics Letters B
title Weak cosmic growth in coupled dark energy with a Lagrangian formulation
title_full Weak cosmic growth in coupled dark energy with a Lagrangian formulation
title_fullStr Weak cosmic growth in coupled dark energy with a Lagrangian formulation
title_full_unstemmed Weak cosmic growth in coupled dark energy with a Lagrangian formulation
title_short Weak cosmic growth in coupled dark energy with a Lagrangian formulation
title_sort weak cosmic growth in coupled dark energy with a lagrangian formulation
url http://www.sciencedirect.com/science/article/pii/S0370269320302045
work_keys_str_mv AT ryotarokase weakcosmicgrowthincoupleddarkenergywithalagrangianformulation
AT shinjitsujikawa weakcosmicgrowthincoupleddarkenergywithalagrangianformulation