论文标题
宇宙学的扰动理论随时间时间
Cosmological perturbation theory with matter time
论文作者
论文摘要
我们研究了宇宙学的扰动理论，具有标量场和哈密顿配方中的无压力灰尘，将灰尘场选择为物质时间表。相应的规范作用描述了标量场和自由度度量的动力学，并具有无数的物理汉密尔顿和空间差异性约束。我们构建了一个动量空间哈密顿量，描述了线性扰动，并表明对该顺序的约束形成了一流的系统。然后，我们编写哈密顿量作为某些规格不变的规范变量的函数，并表明它采用振荡器的形式，并以时间依赖的质量和频率耦合到超局部场。我们将我们的分析与其他不利用灰尘时间的宇宙学扰动理论进行了比较。
We study cosmological perturbation theory with scalar field and pressureless dust in the Hamiltonian formulation, with the dust field chosen as a matter-time gauge. The corresponding canonical action describes the dynamics of the scalar field and metric degrees of freedom with a non-vanishing physical Hamiltonian and spatial diffeomorphism constraint. We construct a momentum space Hamiltonian that describes linear perturbations, and show that the constraints to this order form a first class system. We then write the Hamiltonian as a function of certain gauge invariant canonical variables and show that it takes the form of an oscillator with time dependent mass and frequency coupled to an ultralocal field. We compare our analysis with other Hamiltonian approaches to cosmological perturbation theory that do not use dust time.
