论文标题
重组时代的扰动保形宇宙学的精确解决方案
Exact solution to perturbative conformal cosmology in the recombination era
论文作者
论文摘要
我们研究与保形重力相关的宇宙学中的宇宙学扰动理论，确定了分解定理的有效性，然后使用定理为重组时代的理论提供精确的解决方案。我们方法的核心是使用宇宙学波动方程式的完全计量的公式。在重组时代，不仅扰动理论适用，因此由于其在共同情况下的特定结构，因此发现波动方程可大大简化。使用标量，向量和张量波动模式的主方程，我们表明，三维矢量和张量模式的径向方程与五个和七个空间维度中标量模式的径向模式相同。这使我们能够为三维模式构建归一化条件。
We study cosmological perturbation theory in the cosmology associated with conformal gravity, establish the validity of the decomposition theorem for it, and then use the theorem to provide an exact solution to the theory in the recombination era. Central to our approach is the use of a fully gauge invariant formulation of the cosmological fluctuations equations. In the recombination era not only is perturbation theory applicable, because of its specific structure in the conformal case the fluctuation equations are found to greatly simplify. Using a master equation for scalar, vector and tensor fluctuation modes we show that the radial equations for the three-dimensional vector and tensor modes are respectively the same as those of scalar modes in five and seven spatial dimensions. This enables us to construct normalization conditions for the three-dimensional modes.
