Kretschmann不变量与时空奇点、熵和信息之间的关系
广义相对论与量子宇宙学
2014-06-10 v2
摘要
利用一种Yukawa型度规，我们推导了具有一定质量的静态一般黑洞的Kretschmann标量。该标量给出了黑洞附近及内部曲率随径向距离的变化。此外，Kretschmann标量有助于我们理解黑洞作为一个整体实体的出现。它可以应用于太阳质量大小的黑洞、中子星或各种星系中心的超大质量黑洞。为了探究几何与熵和信息之间的联系，我们推导了太阳质量Yukawa-Schwarzschild黑洞和简单Schwarzschild黑洞的Kretschmann标量。此外，还推导了曲率对熵和信息数量（以纳特为单位）的依赖关系。
引用
@article{arxiv.1406.1581,
title = {Kretschmann Invariant and Relations Between Spacetime Singularities, Entropy and Information},
author = {Ioannis Gkigkitzis and Ioannis Haranas and Omiros Ragos},
journal= {arXiv preprint arXiv:1406.1581},
year = {2014}
}
备注
15 pages. arXiv admin note: text overlap with arXiv:1302.0479, arXiv:cond-mat/9707012 by other authors. There was an error with the information for one of the authors of the originally published paper in the scientific journal. I resubmit the paper with all authors and correct information