An elementary derivation of the five dimensional Myers Perry metric
Abstract
We derive the five dimensional Myers Perry metric via an elementary method to solve the vacuum Einstein field equations directly. This method firstly proposed by Clotz is very simple since it merely involves four components of Ricci tensor and only requires us to deal with some equations without second derivatives’ terms when the metric ansatz is assumed to take an appropriate form.
- Publication:
-
General Relativity and Gravitation
- Pub Date:
- January 2009
- DOI:
- 10.1007/s10714-008-0660-2
- arXiv:
- arXiv:0806.1556
- Bibcode:
- 2009GReGr..41..147P
- Keywords:
-
- Myers-Perry metric;
- Five dimensional solution;
- General Relativity and Quantum Cosmology
- E-Print:
- 5 pages,no figures,accepted by GRG