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arXiv 2007.06609gr-qchep-th
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含物质时间的宇宙学扰动理论

Cosmological perturbation theory with matter time

Viqar Husain, Mustafa Saeed

摘要:

本文研究了在哈密顿体系中含有标量场和无压尘埃的宇宙学扰动理论,其中尘埃场被选为物质-时间规范。相应的正则作用量描述了标量场的动力学和具有非零物理哈密顿量和空间同构约束的度规自由度。我们构建了一个动量空间的哈密顿描述线性扰动,并表明,该命令的约束形成一个第一类系统。然后,我们写的哈密顿量作为一定的规范不变的正则变量的函数,并表明它采取的形式与时间相关的质量和频率耦合到一个超局域场的振荡器。我们比较我们的分析与其他哈密顿方法宇宙学扰动理论,不使用尘埃时间。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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