芬斯勒-兰德斯框架中的暗能量模型现象学方法

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Annals of Physics Pub Date : 2024-09-05 DOI:10.1016/j.aop.2024.169787
{"title":"芬斯勒-兰德斯框架中的暗能量模型现象学方法","authors":"","doi":"10.1016/j.aop.2024.169787","DOIUrl":null,"url":null,"abstract":"<div><p>This study extends two phenomenological models of dark energy within the framework of Finsler–Randers space–time, accommodating anisotropies. The models consider the cosmological constant <span><math><mi>Λ</mi></math></span> in two scenarios: one where <span><math><mi>Λ</mi></math></span> is proportional to the second time derivative of the scale factor <span><math><mover><mrow><mi>a</mi></mrow><mrow><mo>̈</mo></mrow></mover></math></span>, and another where it varies with the matter-energy density <span><math><mi>ρ</mi></math></span>. Earlier, such <span><math><mi>Λ</mi></math></span>-decaying cosmologies were proposed to address long-standing cosmological constant problems. However, following the discovery of late-time cosmic acceleration, the focus shifted to modeling dark energy. Since <span><math><mi>Λ</mi></math></span> is widely viewed as the most significant and suitable candidate for driving cosmic acceleration, it is worthwhile to revisit the phenomenological approach in this context. This work uses this approach to find solutions for the scale factor <span><math><mrow><mi>a</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span> and other geometrical and physical parameters. Additionally, we analyze the evolution of density parameters <span><math><msub><mrow><mi>Ω</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span>, <span><math><msub><mrow><mi>Ω</mi></mrow><mrow><mi>Λ</mi></mrow></msub></math></span>, and <span><math><msub><mrow><mi>Ω</mi></mrow><mrow><mi>κ</mi></mrow></msub></math></span>, representing matter, dark energy, and curvature, from early to late times. The phenomenological approach is employed to solve the field equations, with model parameters constrained using recent observational data, yielding ranges consistent with observations. The solutions converge to the <span><math><mi>Λ</mi></math></span>CDM cosmology at early and late times. The added complexity introduced by Finsler–Randers geometry enhances accuracy compared to analogous solutions in Riemannian space–time.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0000,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A phenomenological approach to the dark energy models in the Finsler–Randers framework\",\"authors\":\"\",\"doi\":\"10.1016/j.aop.2024.169787\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This study extends two phenomenological models of dark energy within the framework of Finsler–Randers space–time, accommodating anisotropies. The models consider the cosmological constant <span><math><mi>Λ</mi></math></span> in two scenarios: one where <span><math><mi>Λ</mi></math></span> is proportional to the second time derivative of the scale factor <span><math><mover><mrow><mi>a</mi></mrow><mrow><mo>̈</mo></mrow></mover></math></span>, and another where it varies with the matter-energy density <span><math><mi>ρ</mi></math></span>. Earlier, such <span><math><mi>Λ</mi></math></span>-decaying cosmologies were proposed to address long-standing cosmological constant problems. However, following the discovery of late-time cosmic acceleration, the focus shifted to modeling dark energy. Since <span><math><mi>Λ</mi></math></span> is widely viewed as the most significant and suitable candidate for driving cosmic acceleration, it is worthwhile to revisit the phenomenological approach in this context. This work uses this approach to find solutions for the scale factor <span><math><mrow><mi>a</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span> and other geometrical and physical parameters. Additionally, we analyze the evolution of density parameters <span><math><msub><mrow><mi>Ω</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span>, <span><math><msub><mrow><mi>Ω</mi></mrow><mrow><mi>Λ</mi></mrow></msub></math></span>, and <span><math><msub><mrow><mi>Ω</mi></mrow><mrow><mi>κ</mi></mrow></msub></math></span>, representing matter, dark energy, and curvature, from early to late times. The phenomenological approach is employed to solve the field equations, with model parameters constrained using recent observational data, yielding ranges consistent with observations. The solutions converge to the <span><math><mi>Λ</mi></math></span>CDM cosmology at early and late times. The added complexity introduced by Finsler–Randers geometry enhances accuracy compared to analogous solutions in Riemannian space–time.</p></div>\",\"PeriodicalId\":8249,\"journal\":{\"name\":\"Annals of Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2024-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0003491624001945\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491624001945","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

本研究在芬斯勒-兰德斯时空框架内扩展了两个暗能量现象学模型,并考虑了各向异性。这两个模型考虑了两种情况下的宇宙学常数Λ:一种是Λ与尺度因子ä的二次导数成正比,另一种是Λ随物质能量密度ρ变化。 早些时候,提出这种Λ衰减宇宙学是为了解决长期存在的宇宙学常数问题。然而,在发现了晚期宇宙加速之后,重点转移到了暗能量建模上。由于人们普遍认为Λ是驱动宇宙加速的最重要和最合适的候选物质,因此值得在此背景下重新审视现象学方法。本研究利用这种方法找到了尺度因子 a(t) 以及其他几何和物理参数的解。此外,我们还分析了代表物质、暗能量和曲率的密度参数Ωm、ΩΛ和Ωκ从早期到晚期的演变。采用现象学方法求解场方程,利用最新观测数据对模型参数进行约束,得出与观测一致的范围。求解结果在早期和晚期都收敛于ΛCDM 宇宙学。与黎曼时空的类似解法相比,芬斯勒-兰德斯几何引入的额外复杂性提高了解法的准确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
A phenomenological approach to the dark energy models in the Finsler–Randers framework

This study extends two phenomenological models of dark energy within the framework of Finsler–Randers space–time, accommodating anisotropies. The models consider the cosmological constant Λ in two scenarios: one where Λ is proportional to the second time derivative of the scale factor ä, and another where it varies with the matter-energy density ρ. Earlier, such Λ-decaying cosmologies were proposed to address long-standing cosmological constant problems. However, following the discovery of late-time cosmic acceleration, the focus shifted to modeling dark energy. Since Λ is widely viewed as the most significant and suitable candidate for driving cosmic acceleration, it is worthwhile to revisit the phenomenological approach in this context. This work uses this approach to find solutions for the scale factor a(t) and other geometrical and physical parameters. Additionally, we analyze the evolution of density parameters Ωm, ΩΛ, and Ωκ, representing matter, dark energy, and curvature, from early to late times. The phenomenological approach is employed to solve the field equations, with model parameters constrained using recent observational data, yielding ranges consistent with observations. The solutions converge to the ΛCDM cosmology at early and late times. The added complexity introduced by Finsler–Randers geometry enhances accuracy compared to analogous solutions in Riemannian space–time.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
期刊最新文献
Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator Exactly solvable time-dependent oscillator family Cosmological singularity and power-law solutions in modified gravity Thermodynamics and quasinormal modes of the Dymnikova black hole in higher dimensions Linear and quadratic behaviors in a two-level laser
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1