期刊
GENERAL RELATIVITY AND GRAVITATION
卷 48, 期 5, 页码 -出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-016-2058-x
关键词
Godel-type metrics; Einstein-Aether theory; Closed timelike curves; Charged fluid; Einstein-Maxwell-Dust field equations
资金
- Scientific and Technological Research Council of Turkey (TUBITAK)
It was previously proved that the Godel-type metrics with flat three-dimensional background metric solve exactly the field equations of the Einstein-Aether theory in four dimensions. We generalize this result by showing that the stationary Godel-type metrics with nonflat background in D dimensions solve exactly the field equations of the Einstein-Aether theory. The reduced field equations are the (D - 1)-dimensional Euclidean Ricci-flat and the (D - 1)-dimensional source-free Maxwell equations, and the parameters of the theory are left free except c(1) - c(3) = 1. We give a method to produce exact solutions of the Einstein-Aether theory from the Godel-type metrics in D dimensions. By using this method, we present explicit exact solutions to the theory by considering the particular cases: (D - 1)-dimensional Euclidean flat, conformally flat, and Tangherlini backgrounds.
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