We consider spherically symmetric inhomogeneous dust models with a positive cosmological constant, $Λ$, given by the Lemaitre-Tolman-Bondi metric. These configurations provide a simple but useful generalization of the Lambda-CDM model describing cold dark matter (CDM) and a Lambda term, which seems to fit current cosmological observations. The dynamics of these models can be fully described by scalar evolution equations that can be given in the form of a proper dynamical system associated with a 4-dimensional phase space whose critical points and invariant subspaces are examined and classified. The phase space evolution of various configurations is studied in detail by means of two 2-dimensional subspaces: a projection into the invariant homogeneous subspace associated with Lambda-CDM solutions with FLRW metric, and a projection into a subspace generated by suitably defined fluctuations that convey the effects of inhomogeneity. We look at cases with perpetual expansion, bouncing and loitering behavior, as well as configurations with "mixed" kinematic patters, such as a collapsing region in an expanding background. In all cases, phase space trajectories emerge from and converge to stable past and future attractors in a qualitatively analogous way as in the case of the FLRW limit. However, we can identify in both projections of the phase space various qualitative features absent in the FLRW limit that can be useful in the construction of toy models of astrophysical and cosmological inhomogeneities.
本文讨论了非相对论性物质和标量场$ϕ$,该场具有单调递减的势,并且与引力最小耦合.场方程被重新表述为一个三维动力系统上的一个扩展的紧凑的状态空间,补充宇宙图。动力系统分析提供了描述可能的渐近行为的全局动力学结果。它表明,一个应该施加\emph{global and asymptotic}的限制$λ=-V^{-1}\,dV/dϕ$获得可行的宇宙学模型,连续变形$Λ$ CDM宇宙学。特别是,我们介绍了一个正则化的逆幂律势作为一个简单的具体例子。
Starting from an inhomogeneous space-time model of the universe we could recreate a scenario of recent time accelerating universe dominated by Dark Energy type of fluid. The background matter component of such a universe was considered to be made up of a combination of an anisotropic fluid, a barotropic fluid and the presureless cold dark matter. It was found that inhomogeneity exhibits itself as the curvature term in such a universe. We corroborated our model with recent supernova Ia-JLA data together with $H_{0}$ data and BAO data. Cosmographic analysis of the dynamical variables further sho…
Matching collapse and expansion across Matter Trapping surfaces in inhomogeneous $Λ$CDM models
Universidade Federal do ABC(圣保罗联邦大学ABC分校);Lanzhou University(兰州大学);Instituto de Astrofísica e Ciências do Espaço, Universidade de Lisboa, Faculdade de Ciências(里斯本大学天体物理与空间科学研究所、理学院);Université de Paris-Cité, APC-Astroparticule et Cosmologie (UMR-CNRS 7164)(巴黎西岱大学,APC-粒子天体物理学与宇宙学(UMR-CNRS 7164))
Can the Stephani model be an alternative to FRW accelerating models?
考虑了一类作为非均匀宇宙原型的Stephani宇宙学模型。非均匀性可能导致加速演化,这是现在从SNIa数据中观察到的。珀尔马特等人获得的三个Ia型超新星样本,考虑了Tendon et al.和Knop et al.。使用不同的统计方法(最佳拟合以及极大似然法)来获得模型参数的估计值。Stephani模型被认为是Lambda-CDM模型一致性的替代,可以解释宇宙的当前加速。该模型解释了宇宙的加速,其精度与Lambda CDM模型相同。从最佳拟合分析,它遵循Stephani模型的特点是更高的值的非相对论性物质密度参数比Lambda-CDM模型。计算结果与CMB峰的位置一致。
We provide a formula for estimating the redshift and its secular change (redshift drift) in Lemaître-Tolman-Bondi (LTB) spherically symmetric universes. We compute the scaling of the redshift drift for LTB models that predict Hubble diagrams indistinguishable from those of the standard cosmological model, the flat $Λ$ Cold Dark Matter ($Λ$CDM) model. We show that the redshift drift for these degenerate LTB models is typically different from that predicted in the $Λ$CDM scenario. We also highlight and discuss some unconventional redshift-drift signals that arise in LTB universes and give them d…