On Four Dimensional Einstein Manifolds

Authors : Hasan ÖZEKES

Pages : 0-0

Doi:10.1501/Commua1_0000000534

View : 10 | Download : 8

Publication Date : 1987-01-01

Article Type : Research Paper

Abstract :In this paper we provide a study of 4-dimensional Einstein manifolds, in particular we classify ali 4-dimensional Einstein manifolds insert ignore into journalissuearticles values(up to local isometry); which have tbe property that tbe metric depends on only one coordinate. Kasner insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(1969);, we provide an alternative approach to find ali 4-dimensional Einstein manifolds insert ignore into journalissuearticles values(up to local isometry); which have the property that the metric depends on only one this we consider the metric 3 coordinate. To do
Keywords : Four Dimensional, Einstein Manifolds, Statistics