{"title":"通过 f(T) 引力中的有效状态方程解析 FLRW 宇宙学","authors":"S.R. Bhoyar, Yash B. Ingole","doi":"10.1016/j.cjph.2024.10.016","DOIUrl":null,"url":null,"abstract":"<div><div>This article explores the cosmological scenario of the universe in the context of the <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> power law model, where <span><math><mi>T</mi></math></span> represents the torsion scalar. To obtain the deterministic solution of the field equations, we parameterized the effective equation-of-state (EoS) with two parameters <span><math><mi>m</mi></math></span> and <span><math><mi>k</mi></math></span> as suggested by A. Mukherjee in a flat FLRW environment. We impose constraints on the free parameters of the derived solution by utilizing MCMC analysis, assuming the <span><math><mrow><mi>C</mi><mi>C</mi><mo>,</mo><mi>P</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>h</mi><mi>e</mi><mi>o</mi><mi>n</mi><mo>+</mo><mi>S</mi><mi>H</mi><mn>0</mn><mi>E</mi><mi>S</mi></mrow></math></span>, and <span><math><mrow><mi>C</mi><mi>C</mi><mo>+</mo><mi>P</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>h</mi><mi>e</mi><mi>o</mi><mi>n</mi><mo>+</mo><mi>S</mi><mi>H</mi><mn>0</mn><mi>E</mi><mi>S</mi></mrow></math></span> as data samples. We explore the dynamics of cosmological parameters. The evolutionary profile of the deceleration parameter exhibits the transition to the accelerated phase. The effective EoS parameter indicates that the model remains in the quintessence era and gradually becomes the Einstein–de Sitter model. In addition, we explore the jerk, snap, and lerk parameters. Furthermore, the <span><math><mrow><mi>O</mi><mi>m</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow></mrow></math></span> diagnostic shows that the model has a consistent positive slope across the entire evolution, but soon resembles the standard <span><math><mi>Λ</mi></math></span>CDM model. Finally, we conclude that the power law model of the <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> gravity in the framework of the FLRW universe aligns more closely with the <span><math><mi>Λ</mi></math></span>CDM model for given observational data.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Resolving FLRW cosmology through effective equation of state in f(T) gravity\",\"authors\":\"S.R. 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We impose constraints on the free parameters of the derived solution by utilizing MCMC analysis, assuming the <span><math><mrow><mi>C</mi><mi>C</mi><mo>,</mo><mi>P</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>h</mi><mi>e</mi><mi>o</mi><mi>n</mi><mo>+</mo><mi>S</mi><mi>H</mi><mn>0</mn><mi>E</mi><mi>S</mi></mrow></math></span>, and <span><math><mrow><mi>C</mi><mi>C</mi><mo>+</mo><mi>P</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>h</mi><mi>e</mi><mi>o</mi><mi>n</mi><mo>+</mo><mi>S</mi><mi>H</mi><mn>0</mn><mi>E</mi><mi>S</mi></mrow></math></span> as data samples. We explore the dynamics of cosmological parameters. The evolutionary profile of the deceleration parameter exhibits the transition to the accelerated phase. The effective EoS parameter indicates that the model remains in the quintessence era and gradually becomes the Einstein–de Sitter model. In addition, we explore the jerk, snap, and lerk parameters. Furthermore, the <span><math><mrow><mi>O</mi><mi>m</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow></mrow></math></span> diagnostic shows that the model has a consistent positive slope across the entire evolution, but soon resembles the standard <span><math><mi>Λ</mi></math></span>CDM model. 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引用次数: 0
摘要
本文在 f(T) 幂律模型(其中 T 代表扭转标量)的背景下探讨了宇宙学情景。为了得到场方程的确定性解,我们按照 A. Mukherjee 的建议,在平坦 FLRW 环境中用两个参数 m 和 k 对有效状态方程(EoS)进行了参数化。我们利用 MCMC 分析,假定 CC、Pantheon+SH0ES 和 CC+Pantheon+SH0ES 为数据样本,对导出解的自由参数施加约束。我们探索了宇宙学参数的动态变化。减速参数的演化曲线显示了向加速阶段的过渡。有效 EoS 参数表明该模型仍处于五元时代,并逐渐成为爱因斯坦-德-西特模型。此外,我们还探究了跃迁(jerk)、骤变(snap)和钝化(lerk)参数。此外,Om(z) 诊断显示,该模型在整个演化过程中具有一致的正斜率,但很快就类似于标准的ΛCDM 模型。最后,我们得出结论,在 FLRW 宇宙框架下,f(T) 引力的幂律模型与给定观测数据下的 ΛCDM 模型更为接近。
Resolving FLRW cosmology through effective equation of state in f(T) gravity
This article explores the cosmological scenario of the universe in the context of the power law model, where represents the torsion scalar. To obtain the deterministic solution of the field equations, we parameterized the effective equation-of-state (EoS) with two parameters and as suggested by A. Mukherjee in a flat FLRW environment. We impose constraints on the free parameters of the derived solution by utilizing MCMC analysis, assuming the , and as data samples. We explore the dynamics of cosmological parameters. The evolutionary profile of the deceleration parameter exhibits the transition to the accelerated phase. The effective EoS parameter indicates that the model remains in the quintessence era and gradually becomes the Einstein–de Sitter model. In addition, we explore the jerk, snap, and lerk parameters. Furthermore, the diagnostic shows that the model has a consistent positive slope across the entire evolution, but soon resembles the standard CDM model. Finally, we conclude that the power law model of the gravity in the framework of the FLRW universe aligns more closely with the CDM model for given observational data.
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