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arXiv 2408.05484gr-qchep-ph
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爱因斯坦标量高斯-邦迪引力中暗能量与暗物质的相互作用模型

Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity

Saddam Hussain, Simran Arora, Yamuna Rana, Benjamin Rose, Anzhong Wang

备注：
36 pages, 21 figures, and 3 tables, Published in JCAP
发表信息：
JCAP11(2024)042
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AI总结：

该研究在爱因斯坦标量高斯-邦迪引力中分析暗能量与暗物质相互作用模型的动力学，利用引力波速度约束分模型依赖与独立场景研究，发现模型独立场景无需微调且在高红移处比ΛCDM更符合数据。

摘要：

我们在均匀且各向同性的背景下研究了高斯-邦迪（GB）耦合标量场与暗物质流体之间相互作用模型的动力学。GB耦合模型的一个关键特征是引力波（GWs）的速度可变。我们利用最近对引力波速度的约束，在两种主要场景下进行分析：模型依赖和模型独立。在模型依赖场景中，确定引力波速度需要特定的GB耦合函数形式，我们选择指数GB耦合。我们采用动力系统分析来获得对描述宇宙不同阶段并产生符合引力波约束的稳定晚期加速解的模型参数的必要约束，并发现要满足所有这些约束，通常需要对模型中涉及的自由参数进行微调。在模型独立场景中，引力波速度固定为1，我们构建自治系统以识别晚期稳定的加速临界点。此外，我们采用贝叶斯推理方法，使用包括来自宇宙钟数据的31个数据点和来自Pantheon+的1701个数据点的晚期观测数据集，发现该模型在更高红移处与ΛCDM有显著偏差，并且在误差范围内比ΛCDM更符合当前数据。

英文摘要：

We study the dynamics of the interacting models between the Gauss-Bonnet (GB) coupled scalar field and the dark matter fluid in a homogeneous and isotropic background. A key feature of GB coupling models is the varying speed of gravitational waves (GWs). We utilize recent constraints on the GW speed and conduct our analysis in two primary scenarios: model-dependent and model-independent. In the model-dependent scenario, where determining the GW speed requires a specific GB coupling functional form, we choose an exponential GB coupling. We adopt a dynamical system analysis to obtain the necessary constraints on the model parameters that describe different phases of the universe and produce a stable late-time accelerating solution following the GW constraint, and find that to satisfy all these constraints, fine-tuning of the free parameters involved in the models is often needed. In the model-independent scenario, the GW speed is fixed to one, and we construct the autonomous system to identify the late-time stable accelerating critical points. Furthermore, we adopt a Bayesian inference method using late-time observational data sets, including 31 data points from cosmic chronometer data (Hubble data) and 1701 data points from Pantheon+ and find that all the observational constraints can be satisfied without fine-tuning. In addition, we also utilize simulated binned Roman and LSST data to study the evolution of the universe in the model-independent scenario. We find that the model shows significant deviation at higher redshifts from $Λ$CDM and fits the current data much better than $Λ$CDM within the error bars.

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