DeWitt boundary condition is consistent in Horava-Lifshitz quantum gravity
DeWitt boundary condition is consistent in Horava-Lifshitz quantum gravity
复制标题
德威特边界条件在 Horava-Lifshitz 量子引力中是一致的
DOI：
10.1016/j.physletb.2022.137340
复制
发表时间：
2022
影响因子：
4.4
通讯作者：
Naruko Atsushi
中科院分区：
文献类型：
--
作者：
Matsui Hiroki;Mukohyama Shinji;Naruko Atsushi
在量子宇宙学中，德威特边界条件是一个设定宇宙波函数在经典大爆炸奇点处为零的提议。在这封信中，我们表明，在许多引力理论，包括广义相对论，德威特波函数并没有采取一个理想的形式，一旦张量扰动周围的均匀和各向同性的封闭宇宙被考虑在内：各向异性和不均匀性，由于扰动附近的经典奇点没有被抑制。然后，我们证明Hořava-Lifshitz引力提供了令人满意的DeWitt波函数。特别地，在z= 3的各向异性标度的限制下，我们找到了具有标度不变扰动的宇宙的DeWitt波函数的精确解析表达式。在一般情况下，与相关的变形，我们表明，德威特波函数可以系统地扩大周围的经典大爆炸奇异性与扰动下的控制。
In quantum cosmology the DeWitt boundary condition is a proposal to set the wave function of the universe to vanish at the classical big-bang singularity. In this Letter, we show that in many gravitational theories including general relativity, the DeWitt wave function does not take a desired form once tensor perturbations around a homogeneous and isotropic closed universe are taken into account: anisotropies and inhomogeneities due to the perturbations are not suppressed near the classical singularity. We then show that Hořava-Lifshitz gravity provides a satisfactory DeWitt wave function. In particular, in the limit of z= 3 anisotropic scaling, we find an exact analytic expression for the DeWitt wave function of the universe with scale-invariant perturbations. In general cases with relevant deformations, we show that the DeWitt wave function can be systematically expanded around the classical big-bang singularity with perturbations under control.