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arXiv 1707.04670gr-qcastro-ph.COhep-th
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无暴胀的暴胀:一个暗能量模型

Inflation without Inflaton: A Model for Dark Energy

J. Gamboa, P. Gondolo, H. Falomir, F. Méndez

摘要:

利用非对易量子力学和泊松流形变形的类比,研究了宇宙中两个初始因果不连通区域之间的相互作用。这些因果断开的区域由两个独立的Friedmann-Lema\^itre-Robertson-Walker(FLRW)度规控制,分别具有尺度因子$a$和$b$以及宇宙学常数$Λ_a$和$Λ_b$。因果关系是通过设定一个非平凡的泊松括号$[ {\cal P}_α, {\cal P}_β ] =ε_{αβ}\fracκ{G}$来开启的,其中$G$是牛顿的引力常数,$κ$是一个无量纲参数。假设变形泊松括号有一个解释的3-上循环,异常和泊松流形。修正后的FLRW方程获得了一个能量动量张量,由此我们明确地得到了状态方程参数。数值求解了修正的FLRW方程,得到的解是暴胀的还是振荡的,取决于$κ$的值。在该模型中,加速和减速状态可以是周期性的。状态方程的分析清楚地表明了暗能量的存在。利用完备性,研究了$κ\ll1 $的摄动解.

英文摘要:

The interaction between two initially causally disconnected regions of the universe is studied using analogies of non-commutative quantum mechanics and deformation of Poisson manifolds. These causally disconnect regions are governed by two independent Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) metrics with scale factors $a$ and $b$ and cosmological constants $Λ_a$ and $Λ_b$, respectively. The causality is turned on by positing a non-trivial Poisson bracket $[ {\cal P}_α, {\cal P}_β ] =ε_{αβ}\fracκ{G}$, where $G$ is Newton's gravitational constant and $κ$ is a dimensionless parameter. The posited deformed Poisson bracket has an interpretation in terms of 3-cocycles, anomalies and Poissonian manifolds. The modified FLRW equations acquire an energy-momentum tensor from which we explicitly obtain the equation of state parameter. The modified FLRW equations are solved numerically and the solutions are inflationary or oscillating depending on the values of $κ$. In this model the accelerating and decelerating regime may be periodic. The analysis of the equation of state clearly shows the presence of dark energy. By completeness, the perturbative solution for $κ\ll1 $ is also studied.

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