Einstein-Chern-Simons-Weyl引力中的原初大质量引力波
Primordial massive gravitational waves from Einstein-Chern-Simons-Weyl gravity
摘要：
研究了Einstein-Chern-Simons-Weyl引力场中de Sitter暴胀过程中宇宙学扰动的演化。原始大质量引力波由一个标量、两个矢量和四个张量圆偏振模组成。我们证明了在超视界极限$z\to 0$中，矢量功率谱像横向质量矢量一样迅速衰减。在这个极限下，来自大质量张量模的功率谱迅速衰减，导致传统的张量功率谱。此外，我们发现，在$m^2 \to 0$的限制（保持Weyl平方项只），矢量和张量功率谱消失。这意味着它们的功率谱不是引力产生的，因为它们（矢量和张量）与扩展的德西特背景解耦，这是共形不变性的结果。
英文摘要：
We investigate the evolution of cosmological perturbations during de Sitter inflation in the Einstein-Chern-Simons-Weyl gravity. Primordial massive gravitational waves are composed of one scalar, two vector and four tensor circularly polarized modes. We show that the vector power spectrum decays quickly like a transversely massive vector in the superhorizon limit $z\to 0$. In this limit, the power spectrum coming from massive tensor modes decays quickly, leading to the conventional tensor power spectrum. Also, we find that in the limit of $m^2 \to 0$ (keeping the Weyl-squared term only), the vector and tensor power spectra disappear. It implies that their power spectra are not gravitationally produced because they (vector and tensor) are decoupled from the expanding de Sitter background, as a result of conformal invariance.
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