f(R)型广义引力中的等价定理与正则量子化(II)
广义相对论与量子宇宙学
2015-03-13 v1
摘要
我们首先以自洽且教学的方式推导f(R)型引力与带标量场的爱因斯坦引力之间的等价定理，并对其进行回顾。然后描述等价成立的程度问题。主要问题是：(i) 爱因斯坦引力中必需的Gibbons-Hawking表面项在f(R)型引力中是否也是必需的？(ii) 等价性在量子理论中是否也成立？(iii) 哪个度规是物理的，即哪个度规应被识别为观测到的度规？在这项工作中，我们澄清了问题(i)，并在正则形式（Ostrogradski形式的推广）中回顾了问题(ii)。我们简要评论了问题(iii)。关于(ii)的结果之一（涉及非对易时空中的广义相对论）给出了一些讨论。
引用
@article{arxiv.1204.2396,
title = {The equivalence theorem in the generalized gravity of f(R)-type and canonical quantization II},
author = {Yasuo Ezawa and Yoshiaki Ohkuwa},
journal= {arXiv preprint arXiv:1204.2396},
year = {2015}
}
备注
23 pages. Ecept for the change of style from {book} to {article} and related changes, e.g., addition of abstract and the form of References, as well as the addition of Appendix B, the work has been published as one of the chapters in the book "Advances in Quantum Theory" (2012, ed. Ion I. Cotaescu; InTech Open Access Publisher)