Equivalence of dark energy models: A theoretical and Bayesian perspective

IF 5 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS
David Tamayo , Erick Urquilla , Isidro Gómez-Vargas
{"title":"Equivalence of dark energy models: A theoretical and Bayesian perspective","authors":"David Tamayo ,&nbsp;Erick Urquilla ,&nbsp;Isidro Gómez-Vargas","doi":"10.1016/j.dark.2025.101901","DOIUrl":null,"url":null,"abstract":"<div><div>We explore the background equivalence among three dark energy models by constructing explicit mappings between dynamical dark energy (DDE), interacting dark energy (IDE), and running vacuum (RV). In our approach, the dark sector functions that characterize each model — such as the equation of state parameter <span><math><mrow><mover><mrow><mi>w</mi></mrow><mrow><mo>̄</mo></mrow></mover><mrow><mo>(</mo><mi>a</mi><mo>)</mo></mrow></mrow></math></span> for DDE, the interaction term <span><math><mi>Q</mi></math></span> for IDE, and the functional form <span><math><mrow><mi>Λ</mi><mrow><mo>(</mo><mi>H</mi><mo>)</mo></mrow></mrow></math></span> for RV — are transformed into one another under specific assumptions. Extending previous work by von Marttens et al. (2020), we demonstrate that running vacuum models, characterized by <span><math><mrow><mi>Λ</mi><mrow><mo>(</mo><mi>H</mi><mo>)</mo></mrow><mo>=</mo><msub><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>+</mo><msub><mrow><mi>a</mi></mrow><mrow><mn>1</mn></mrow></msub><mover><mrow><mi>H</mi></mrow><mrow><mo>̇</mo></mrow></mover><mo>+</mo><msub><mrow><mi>a</mi></mrow><mrow><mn>2</mn></mrow></msub><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></span>, can be reinterpreted as an interacting dark energy model with <span><math><mrow><mi>Q</mi><mo>=</mo><mn>3</mn><mi>H</mi><mi>γ</mi><msub><mrow><mover><mrow><mi>ρ</mi></mrow><mrow><mo>ˆ</mo></mrow></mover></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span>, which in turn is equivalent to a dynamic dark energy model with an appropriately defined <span><math><mrow><mover><mrow><mi>w</mi></mrow><mrow><mo>̄</mo></mrow></mover><mrow><mo>(</mo><mi>a</mi><mo>)</mo></mrow></mrow></math></span>. Using Bayesian analysis with Type Ia supernovae, Baryon Acoustic Oscillations, and Cosmic Chronometers, our observational constraints confirm that these theoretical equivalences hold at the background level. This study underscores the importance of seeking convergence in dark energy models, facilitating a better understanding of the dark sector.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"48 ","pages":"Article 101901"},"PeriodicalIF":5.0000,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of the Dark Universe","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2212686425000949","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0

Abstract

We explore the background equivalence among three dark energy models by constructing explicit mappings between dynamical dark energy (DDE), interacting dark energy (IDE), and running vacuum (RV). In our approach, the dark sector functions that characterize each model — such as the equation of state parameter w̄(a) for DDE, the interaction term Q for IDE, and the functional form Λ(H) for RV — are transformed into one another under specific assumptions. Extending previous work by von Marttens et al. (2020), we demonstrate that running vacuum models, characterized by Λ(H)=a0+a1Ḣ+a2H2, can be reinterpreted as an interacting dark energy model with Q=3Hγρˆc, which in turn is equivalent to a dynamic dark energy model with an appropriately defined w̄(a). Using Bayesian analysis with Type Ia supernovae, Baryon Acoustic Oscillations, and Cosmic Chronometers, our observational constraints confirm that these theoretical equivalences hold at the background level. This study underscores the importance of seeking convergence in dark energy models, facilitating a better understanding of the dark sector.
求助全文
约1分钟内获得全文 求助全文
来源期刊
Physics of the Dark Universe
Physics of the Dark Universe ASTRONOMY & ASTROPHYSICS-
CiteScore
9.60
自引率
7.30%
发文量
118
审稿时长
61 days
期刊介绍: Physics of the Dark Universe is an innovative online-only journal that offers rapid publication of peer-reviewed, original research articles considered of high scientific impact. The journal is focused on the understanding of Dark Matter, Dark Energy, Early Universe, gravitational waves and neutrinos, covering all theoretical, experimental and phenomenological aspects.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信