Interacting Dark Energy

从广义相对论中的纯标量场模型到基于修正引力理论的模型，许多提出替代宇宙学常数的宇宙学模型已经被分析并与观测数据进行了比较。一种较少被探索的可能性是暗能量（DE）与暗物质（DM）相互作用。在这个项目中，我们将构建新的相互作用的DE- dm模型，特别是（至少在最初）专注于用简单真空表示DE的情况，因此假设标准LCDM模型的所有修改都来自交互本身，遵循现象学方法。第一阶段将致力于用数值和动力系统技术建立和分析FLRW模式的特性。在第二阶段，我们将推导出描述这些模型中小的不均匀性演化的相对论摄动方程。第三阶段应在现有的数值代码中执行这些方程，这些代码应进行相应的修改，以便得出模型的观测预测并用现有数据约束它们。

Many cosmological models proposing an alternative to the cosmological constant have been analysed and compared with observational data, ranging from quintessence scalar field models in General Relativity to models based on modified theories of gravity. A less explored possibility is that dark energy (DE) interacts with dark matter (DM).In this project we will build new interacting DE-DM models, in particular (at least initially) focusing on the case where DE is represented by a simple vacuum, assuming therefore that all the modifications of the standard LCDM model come from the interaction itself, following a phenomenological approach.A first phase will be dedicated to building and analyzing the properties of the FLRW modes with numerical and dynamical systems techniques. In a second phase we will derive the relativistic perturbation equations describing the evolution of small inhomogeneities in these models. A third phase should implement these equations in existing numerical codes, which should be modified accordingly, in order to derive observational predictions of the models and constrain them with available data.