Relativity and Cosmology


A Derivation of the Kerr Metric by Ellipsoid Coordinate Transformation

Authors: Yu-Ching, Chou

Einstein's general relativistic eld equation is a nonlinear partial dierential equation that lacks an easy way to obtain exact solutions. The most famous examples are Schwarzschild and Kerr's black hole solutions. The Kerr metric has astrophysical meaning because most of cosmic celestial bodies are rotating. The Kerr metric is even more diffcult to derive than the Schwarzschild metric specically due to off-diagonal term of metric tensor. In this paper, a derivation of Kerr metric was obtained by ellipsoid coordinate transformation, which causes elimination a large amount of tedious derivation. This derivation is not only physics enlightening, but also further deducing some characteristics of the rotating black hole.

Comments: Pages.

Download: PDF

Submission history

[v1] 2018-02-20 00:36:57

Unique-IP document downloads: 154 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus