arXiv 1809.014582018-09-05gr-qc

Kantowski-Sachs Einstein-Aether标量场宇宙模型

Kantowski-Sachs Einstein-Aether Scalar Field Cosmological Models

R. J. van den Hoogen, A. A. Coley, B. Alhulaimi, S. Mohandas, E. Knighton, S. O'Neil

备注：: 28 pages, 10 figures, 3 tables, submitted to JCAP
发表信息：: 2018 J. Cosmol. Astropart. Phys. 2018 017
DOI：: 10.1088/1475-7516/2018/11/017

摘要：

在Einstein-aether引力框架下研究了一类正曲率空间均匀但各向异性的宇宙学模型。假设物质源是一个标量场，它通过广义指数势耦合到以太场的展开。发展方程表示的扩展归一化变量，以产生一个自治系统的常微分方程，适合于数值和定性分析。对平衡点的局部稳定性分析表明，存在一个参数取值范围，在该范围内存在一个加速扩张的未来吸引子。在广义相对论中，具有指数势$V=V_0e^{-2kϕ}$的标量场模型具有$k^2<\frac{1}{2}$的晚期暴胀吸引子;然而，人们发现以太场和标量场之间的耦合允许参数$k$的任意大值。

英文摘要：

A class of positive curvature spatially homogeneous but anisotropic cosmological models within an Einstein-aether gravitational framework are investigated. The matter source is assumed to be a scalar field which is coupled to the expansion of the aether field through a generalized exponential potential. The evolution equations are expressed in terms of expansion-normalized variables to produce an autonomous system of ordinary differential equations suitable for a numerical and qualitative analysis. An analysis of the local stability of the equilibrium points indicates that there exists a range of values of the parameters in which there exists an accelerating expansionary future attractor. In general relativity, scalar field models with an exponential potential $V=V_0e^{-2kϕ}$ have a late-time inflationary attractor for $k^2<\frac{1}{2}$; however, it is found that the existence of the coupling between the aether and scalar fields allows for arbitrarily large values of the parameter $k$.

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