- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 36
- On Four Dimensional Einstein Manifolds
On Four Dimensional Einstein Manifolds
Authors : Hasan Özekes
Pages : 0-0
Doi:10.1501/Commua1_0000000534
View : 8 | Download : 4
Publication Date : 1987-01-01
Article Type : Research
Abstract :In this paper we provide a study of 4-dimensional Einstein manifolds, in particular we classify ali 4-dimensional Einstein manifolds (up to local isometry) which have tbe property that tbe metric depends on only one coordinate. Kasner (1923) considered the Solutions of the Einstein equations involving functions cf cniy one variahh.. His calculations are rather long and purely algebraic in nature. In this paper, by using a theorem of Singer and Thorpe (1969), we provide an alternative approach to find ali 4-dimensional Einstein manifolds (up to local isometry) which have the property that the metric depends on only one this we consider the metric 3 coordinate. To doKeywords : Four Dimensional, Einstein Manifolds, Statistics