论文标题
关于二阶宇宙学扰动的量规不变性的注释
Note on gauge invariance of second order cosmological perturbations
论文作者
论文摘要
我们研究仪表不变的宇宙学扰动最高为二阶。我们表明,在第一阶和第二阶都有无限的量规变量家族。显示不同家族之间的转换公式通过数量不变的碱基数量来描述。对于由一阶标量扰动引起的二阶宇宙学扰动,我们明确地表示它们的运动方程,分别以量规不变的牛顿,同步和混合变量的形式表示。
We study the gauge invariant cosmological perturbations up to second order. We show that there are infinite families of gauge invariant variables at both of the first and second orders. The conversion formulae among different families are shown to be described by a finite number of bases that are gauge invariant. For the second order cosmological perturbations induced by the first order scalar perturbations, we explicitly represent the equations of motion of them in terms of the gauge invariant Newtonian, synchronous and hybrid variables, respectively.