论文标题
了解相互作用的黑暗能源场景及其理论界限的现象学
Understanding the phenomenology of interacting dark energy scenarios and their theoretical bounds
论文作者
论文摘要
在空间平坦的Friedmann-Lema- Robertson-Walker（FLRW）宇宙中，已经考虑了暗物质与暗能量之间的非重力相互作用。相互作用速率假定在暗物质和暗能量的能量密度中是线性的，并且与FLRW宇宙的哈勃速率成正比。这种相互作用模型会导致自主线性动力学系统，并取决于耦合参数，可以通过计算矩阵的指数来分析求解，从而定义系统。我们在这里表明，这种相互作用率与一些众所周知的宇宙学理论具有非常深的联系。然后，我们研究了相互作用速率的耦合参数的理论界限，以使深色扇区的能量密度在整个宇宙的演化过程中保持正值，并且在很晚的时间内将渐近地融合到零。我们的分析还指出，这种线性相互作用模型可能会根据耦合参数以及暗能量状态参数而与有限的未来奇点相遇。
Non-gravitational interaction between dark matter and dark energy has been considered in a spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) universe. The interaction rate is assumed to be linear in the energy densities of dark matter and dark energy and it is also proportional to the Hubble rate of the FLRW universe. This kind of interaction model leads to an autonomous linear dynamical system, and depending on the coupling parameters, could be solved analytically by calculating the exponential of the matrix, defining the system. We show here that such interaction rate has a very deep connection with some well known cosmological theories. We then investigate the theoretical bounds on the coupling parameters of the interaction rate in order that the energy densities of the dark sector remain positive throughout the evolution of the universe and asymptotically converge to zero at very late times. Our analyses also point out that such linear interacting model may encounter with finite time future singularities depending on the coupling parameters as well as the dark energy state parameter.
