We investigate Euclidean wormholes in Gauss–Bonnet-dilaton gravity to explain the creation of the universe from nothing. We considered two types of dilaton couplings (i.e., the string-inspired model and the Gaussian model) and we obtained qualitatively similar results. There can exist Euclidean wormholes that explain the possible origin of our universe, where the dilaton field is located over the barrier of dilaton potential. This solution can exist even if dilaton potential does not satisfy slow-roll conditions. In addition, the probability is higher than that of the Hawking–Moss instanton with the same final condition. Therefore, Euclidean wormholes in Gauss–Bonnet-dilaton gravity are a possible and probable scenario, which explains the origin of our universe.

我们研究了高斯-邦尼-迪拉顿引力下的欧几里得虫洞，以解释虚无的宇宙创造。我们考虑了两种类型的dilaton耦合（即弦启发模型和高斯模型），并且获得了定性相似的结果。可能存在欧几里德虫洞，这些虫洞解释了我们宇宙的可能起源，而扩张子场位于扩张子势垒的上方。即使dilaton势不满足慢滚动条件，该解决方案也可以存在。另外，在相同的最终条件下，该概率要比霍金-莫斯瞬子高。因此，高斯-邦内-迪拉顿引力上的欧几里德虫洞是可能的，也是可能的情况，这解释了我们宇宙的起源。