On einstein finsler metrics

In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.Authors Semail Ulgen, Esra Sengelen Sevim are both supported in part by the ¨ Scientific and Technological Research Council of Turkey (TUBITAK), Grant (No. 113F311