论文标题
纽顿后校正的轴心宇宙学
Axion cosmology with post-Newtonian corrections
论文作者
论文摘要
我们在宇宙学的环境下，我们提出了一般不完美流体和轴的一般性不完美流体和轴轴的一阶（1pn）近似值。对于斧头，使用Klein转换和Madelung转换，我们分别以精确的协变方式和1PN顺序得出了Schrödinger和Madelung流体动力学配方。在不固定时间表条件的情况下得出了1PN公式的完整方程组。我们研究宇宙学中的线性不稳定性和流体和轴突的静态极限。这些是独立于量规条件到1pn顺序的呈现的，因此自然量规不变。
We present first-order post-Newtonian (1PN) approximations of a general imperfect fluid and of an axion as a coherently oscillating massive scalar field, both in the cosmological context. For the axion, using the Klein transformation and Madelung transformation we derive the Schrödinger and Madelung hydrodynamic formulations, respectively, in exact covariant way and to 1PN order. Complete sets of equations for the 1PN formulations are derived without fixing the temporal gauge condition. We study the linear instability in cosmology and a static limit for both fluid and axion; these are presented independently of the gauge condition to 1PN order, thus are naturally gauge-invariant.
