论文标题
Chern-Simons Axion $ f（r）$重力的重力波的传播
Propagation of Gravitational Waves in Chern-Simons Axion $F(R)$ Gravity
论文作者
论文摘要
在本文中，我们将研究Chern-Simons Axion $ f（r）$重力的宇宙学重力波的演变。对于Chern-Simons Axion $ f（r）$重力存在Spin-0，Spin-2和Spin-1模式。正如我们证明的那样，从Chern-Simons轴$ F（R）$重力的所有重力波模式中，只有两个张量模式受到影响，而Spin-0和Spin-1模式根本不影响。关于两种张量模式，我们表明这些模式以非等效的方式传播，因此所得的张量模式是手性的。值得注意的是，关于Spin-2重力模式的繁殖，与爱因斯坦重力与Chern-Simons轴相比，分散关系的结构变得更加复杂，但是传播模式的最终定性特征没有更改。关于SPIN-0和SPIN-1模式，Chern-Simons Axion $ f（r）$ GRAVITY包含两种Spin-0模式，根本没有矢量旋转1模式。我们还发现，对于非常高的能量模式，组速度和相速度都与波数平方根的倒数成正比，因此，对于较大的波数而言，速度变得较小，甚至在波浪数达到无限的极限上消失。
In this paper we shall study the evolution of cosmological gravitational waves in the context of Chern-Simons axion $F(R)$ gravity. In the case of Chern-Simons axion $F(R)$ gravity there exist spin-0, spin-2 and spin-1 modes. As we demonstrate, from all the gravitational waves modes of the Chern-Simons axion $F(R)$ gravity, only the two tensor modes are affected, while the spin-0 and spin-1 modes are not affected at all. With regard to the two tensor modes, we show that these modes propagate in a non-equivalent way, so the resulting tensor modes are chiral. Notably, with regard to the propagation of the spin-2 graviton modes, the structure of the dispersion relations becomes more complicated in comparison with the Einstein gravity with the Chern-Simons axion, but the resulting qualitative features of the propagating modes are not changed. With regard to the spin-0 and spin-1 modes, the Chern-Simons axion $F(R)$ gravity contains two spin-0 modes and no vector spin-1 mode at all. We also find that for the very high energy mode, both the group velocity and the phase velocity are proportional to the inverse of the square root of the wave number, and therefore the velocities become smaller for larger wave numbers or even vanish in the limit that the wave number goes to infinity.
