Schwarzschild 背景时空上任意阶质量、角动量、偶极扰动的规范不变形式解
广义相对论与量子宇宙学
2021-11-02 v3 高能物理 - 理论
摘要
以规范不变的方式导出了 Schwarzschild 背景时空上任意阶质量、角动量、偶极扰动的形式解。一旦我们接受 [K. Nakamura, Class. Quantum Grav. {\bf 38} (2021), 145010.] 中的提议，我们就可以通过 [K. Nakamura, Class. Quantum Grav. {\bf 31} (2014), 135013.] 中的论证，将 Schwarzschild 背景时空上的规范不变线性扰动理论（包含单极（）和偶极（）模式）扩展到同一背景时空的任意阶扰动。作为该解决的结果，我们获得了上述任意阶形式解的简洁推导。
引用
@article{arxiv.2102.10650,
title = {Formal solutions of any-order mass, angular-momentum, dipole perturbations on the Schwarzschild background spacetime},
author = {Kouji Nakamura},
journal= {arXiv preprint arXiv:2102.10650},
year = {2021}
}
备注
10 pages, no figure. arXiv admin note: text overlap with arXiv:2102.00830 (v1), arXiv:1403.1004; 11 pages no figure. The whole presentations are changed and references are re-organized and added, although the main assertion of this paper is unchanged. (v2); introduction is changed, references are added. (v3)