Abstract
It was previously proved that the Gödel-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 Gödel-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 Gödel-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.
from #Ἀθηνᾶ via ola Kala on Inoreader http://ift.tt/1S1FUkV
via IFTTT
Δεν υπάρχουν σχόλια:
Δημοσίευση σχολίου