论文标题
宇宙学具有修饰的连续性方程式在渐近安全重力中
Cosmology with modified continuity equation in asymptotically safe gravity
论文作者
论文摘要
我们研究了FLRW宇宙学，考虑到有效的重力作用的精确重新归一化组流动的形式上的量子重力校正。我们计算量子校正的比例因子，能量密度和熵产生，并采用不同的截止功能。我们的方法与以前的方法不同的方式施加了能量弹药的施加方式 - 我们在能量巨头张量的定义中包括跑步的牛顿常数$ g（k）$，请记住爱因斯坦张量的协变量保护身份。在这种方法中获得的量子校正与通过让保护方程保持与尺度无关的牛顿常数相同的量子校正不同。我们还发现，对于截止量表的特定选择，牛顿常数的量子校正行为和宇宙常数导致弹跳的新兴宇宙解决方案。
We study FLRW cosmology, taking into account quantum gravitational corrections in the formalism of the exact renormalization group flow of the effective action for gravity. We calculate the quantum corrected scale factor, energy density, and entropy production at late times, taking different cut-off functions. Our approach differs from previous ones in the way energy-momentum conservation is imposed -- we include the running Newton constant $G(k)$ in the definition of energy-momentum tensor, keeping in mind the covariant conservation identity of the Einstein tensor. The quantum corrections obtained in this approach are different from what are found by letting the conservation equation remain the same as for a scale-independent Newton constant. We also find that for a specific choice of the cut-off scale, the quantum corrected behaviour of the Newton constant and the cosmological constant lead to a bouncing emergent universe solution.
