论文标题
Dewitt Wave Wave函数在张量摄动中的ho红瓦尔瓦 - 利法兹宇宙学中
DeWitt wave function in Hořava-Lifshitz cosmology with tensor perturbation
论文作者
论文摘要
我们提出了一个脾气暴躁的Dewitt波函数，该功能在经典的大爆炸奇点上消失，在分析和数值上，张量扰动，均具有张量扰动。总的来说，一旦考虑到张量扰动，DEWITT波函数就会不佳。这本质上是因为扰动的幅度在奇异性上差异，并且扰动扩张完全分解。另一方面，在HL重力中，众所周知，扰动性重置率所要求的较高维操作员会使张量的扰动尺度不变性和常规范围一直延伸至奇异性。在本文中，我们分析表明，在$ d+1 $ dimensional hl重力中，张量扰动的DeWitt波函数确实在经典的大爆炸奇异性周围定义得很好。此外，我们从数值上证明了张量从大爆炸到宇宙有限尺寸的张量扰动的良好的DEWITT波函数。
We present a well-tempered DeWitt wave function, which vanishes at the classical big-bang singularity, in Hořava-Lifshitz (HL) cosmology with tensor perturbation, both analytically and numerically. In general relativity, the DeWitt wave function is ill-behaved once the tensor perturbation is taken into account. This is essentially because the amplitude of the perturbation diverges at the singularity and the perturbative expansion completely breaks down. On the other hand, in HL gravity it is known that the higher dimensional operators required by the perturbative renormalizability render the tensor perturbation scale-invariant and regular all the way up to the singularity. In this paper we analytically show that in $d+1$ dimensional HL gravity the DeWitt wave function for tensor perturbation is indeed well-defined around the classical big-bang singularity. Also, we numerically demonstrate the well-behaved DeWitt wave function for tensor perturbation from the big-bang to a finite size of the Universe.
