论文标题
互动真空宇宙学的定性动力学
Qualitative dynamics of interacting vacuum cosmologies
论文作者
论文摘要
我们对暗物质与真空成分交换能量的定性动力学宇宙学进行了空间分析。我们发现与幂律溶液相对应的固定点，其中不同的组件仍然是总能量密度的恒定分数，并给出了任何具有非变化能量转移的固定点的存在条件。对于某些相互作用模型，我们在存在第三个非相互作用的流体的情况下找到具有恒定状态方程的新固定点，例如辐射，其中相互作用的真空+物质跟踪第三液的演变，类似于先前发现的自我相互作用标量标量场的跟踪解决方案。我们说明了相平面行为，确定了在简单的线性相互作用模型的情况下，确定固定点的状态方程和稳定性，用于相互作用的真空和暗物质，包括存在非互动辐射。在小相互作用参数的情况下，我们为物质或真空义的解决方案中的状态方程提供了近似的解决方案。
We present a phase-space analysis of the qualitative dynamics cosmologies where dark matter exchanges energy with the vacuum component. We find fixed points corresponding to power-law solutions where the different components remain a constant fraction of the total energy density and given an existence condition for any fixed points with nonvanishing energy transfer. For some interaction models we find novel fixed points in the presence of a third noninteracting fluid with constant equation of state, such as radiation, where the interacting vacuum+matter tracks the evolution of the third fluid, analogous to tracker solutions previously found for self-interacting scalar fields. We illustrate the phase-plane behavior, determining the equation of state and stability of the fixed points in the case of a simple linear interaction model, for interacting vacuum and dark matter, including the presence of noninteracting radiation. We give approximate solutions for the equation of state in matter- or vacuum-dominated solutions in the case of small interaction parameters.
