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arXiv 2407.00686astro-ph.COgr-qc
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探索宇宙中非线性电动力学的演化:一种动力系统方法

Exploring the Evolution of Nonlinear Electrodynamics in the Universe: A Dynamical Systems Approach

Ricardo García-Salcedo, Isidro Gómez-Vargas, Tame González, Vicent Martinez-Badenes, Israel Quiros

AI总结:

本文利用动力系统理论和贝叶斯推断研究两类非线性电动力学宇宙学模型的稳定性、因果性及演化路径,发现其晚期宇宙观测表现不如ΛCDM模型,需进一步改进。

摘要:

本文研究了包含非线性电动力学(NLED)的宇宙学模型的动力学,重点关注其稳定性和因果性。我们探索了两个具体的NLED模型:幂律拉格朗日量和有理拉格朗日量。我们利用动力系统理论和贝叶斯推断评估这些模型在描述宇宙演化方面的可行性。我们首先给出了NLED与广义相对论耦合的理论框架,随后通过NLED拉格朗日量的声速平方分析了稳定性和因果性。接着,我们进行了详细的动力学分析,以确定具有这种物质成分的宇宙的演化路径。我们的结果表明,幂律拉格朗日量模型经历了从麦克斯韦辐射主导状态到物质主导状态的各种宇宙学阶段。对于包含麦克斯韦项的有理拉格朗日量模型,在特定参数范围内观察到稳定且因果的行为,其临界点指示了宇宙的演化路径。为了验证我们的理论发现,我们使用一套综合观测数据进行了贝叶斯参数估计,这些数据包括宇宙计时器、重子声学振荡(BAO)测量和Ia型超新星(SNeIa)。两个模型的估计参数与当前宇宙的预期值一致,特别是物质密度$Ω_m$和哈勃参数$h$。然而,参数$α$和$b$在先验范围内并未受到严格约束。我们的模型比较强烈支持$Λ$CDM模型优于NLED模型用于晚期宇宙观测,因为NLED模型并未表现出宇宙学常数行为。我们的结果强调需要进一步改进和探索基于NLED的宇宙学模型,以将其完全纳入标准宇宙学框架。

英文摘要:

This paper investigates the dynamics of cosmological models incorporating nonlinear electrodynamics (NLED), focusing on their stability and causality. We explore two specific NLED models: the Power-Law and Rational Lagrangians. We assess these models' viability in describing the universe's evolution using dynamical systems theory and Bayesian inference. We present the theoretical framework of NLED coupled with general relativity, followed by an analysis of the stability and causality through the squared sound speed of the NLED Lagrangians. We then conduct a detailed dynamical analysis to identify the universe's evolution with this matter content. Our results show that the Power-Law Lagrangian model transitions through various cosmological phases from a Maxwell radiation-dominated state to a matter-dominated state. For the Rational Lagrangian model, including the Maxwell term, stable and causal behavior is observed within specific parameter ranges, with critical points indicating the evolutionary pathways of the universe. To validate our theoretical findings, we perform Bayesian parameter estimation using a comprehensive set of observational data, including cosmic chronometers, Baryon Acoustic Oscillation (BAO) measurements, and Type Ia Supernovae (SNeIa). The estimated parameters for both models align with expected values for the current universe, particularly the matter density $Ω_m$ and the Hubble parameter $h$. However, the parameters $α$ and $b$ are not tightly constrained within the prior ranges. Our model comparison strongly favors the $Λ$CDM model over the NLED models for late-universe observations, as the NLED model does not exhibit a cosmological constant behavior. Our results highlight the need for further refinement and exploration of NLED-based cosmological models to fully integrate them into the standard cosmological framework.

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