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arXiv 2501.07968gr-qc
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具有空间依赖宇宙学常数的非均匀模型

Inhomogeneous model with a space dependent Cosmological Constant

D. Comelli

AI总结:

该研究构建含空间依赖宇宙学常数的球对称非均匀宇宙模型,通过统一理想流体描述暗能量与暗物质,匹配早期与局域哈勃值,推导两种微扰解并分析宇宙学参数、红移分布及红移漂移特性。

摘要:

我们分析了一种非均匀宇宙学模型,其特征是由统一的单理想流体诱导的球对称泡解,该流体包含空间依赖的暗能量(含$w=-1$)和暗物质(含$w=0$)组分。我们设定了一个哈勃剖面,使其与早期的普朗克值($H_0=67.4\pm0.5$ Km/s\,Mpc)及局域值(${\cal H}_0=73.52\pm 1.62$ Km/s\,Mpc)相匹配。我们明确推导了两种不同情形下的微扰解:一种是在中心附近展开(对应小的$r\,{\cal H}_0\ll1$),另一种是在均匀FRW宇宙附近展开。在这两种情形下,我们都计算了宇宙学参数、哈勃膨胀率的红移分布以及有效状态方程。此外,我们还研究了推广至勒梅特(Lema$\hat{\rm i}$tre)度规的红移漂移特性。

英文摘要:

We analyse an inhomogeneous cosmological model featuring a spherically symmetric bubble solution induced by a unified single perfect fluid, comprising spatially dependent Dark Energy (with $w=-1$) and Dark Matter (with $w=0$) components. We impose an Hubble profile that matches the Planck value at early times ($H_0=67.4\pm0.5$ Km/s\,Mpc) and the local value (${\cal H}_0=73.52\pm 1.62$ Km/s\,Mpc). We explicitly derive perturbative solutions in two distinct regimes: one expanded around the center (for small $r\,{\cal H}_0\ll1$) and the other expanded around a homogeneous FRW universe. In both cases, we compute the cosmographic parameters, redshift profiles for the Hubbles expansion rates, and effective equations of state. Furthermore, we investigate the redshift drift behaviour extended to a Lema$\hat{\rm i}$tre metric.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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