具有辐射、宇宙学常数和特设势的宇宙诞生的概率
Tunneling probability for the birth of universes with radiation, cosmological constant and an ad hoc potential
摘要：
在这项工作中，我们研究的诞生Friedmann-Lema\^itre-Robertson-Walker（FLRW）模型与零（$k=0$）和负（$k=-1$）曲率的空间部分。模型的物质内容由辐射理想流体和正的宇宙学常数组成。该模型也有一个特设的潜在的起源被认为是几何性质的存在。为了描述这些宇宙的诞生，我们用量子宇宙学来描述它们。首先，我们得到Wheeler-DeWitt方程，并使用WKB近似求解它们。我们注意到，对于任何$k$值，特设势的存在都会产生势垒。这意味着我们可以通过隧道机制来描述宇宙的诞生，对于任何曲率的空间截面，而不仅仅是通常的情况$k=1$。我们明确地计算了不同宇宙模型诞生的隧穿概率，并比较了这些隧穿概率。
英文摘要：
In this work we study the birth of Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) models with zero ($k=0$) and negative ($k=-1$) curvatures of the spatial sections. The material content of the models is composed of a radiation perfect fluid and a positive cosmological constant. The models also have the presence of an ad hoc potential which origin is believed to be of geometrical nature. In order to describe the birth of these universes, we quantize them using quantum cosmology. Initially, we obtain the Wheeler-DeWitt equations and solve them using the WKB approximation. We notice that the presence of the ad hoc potential produces a barrier for any value of $k$. It means that we may describe the birth of the universe through a tunneling mechanism, for any curvature of the spatial sections, not only for the usual case $k=1$. We, explicitly, compute the tunneling probabilities for the birth of the different models of the universe and compare these tunneling probabilities.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
