INTERNATIONAL JOURNAL OF MATHEMATICS, vol.32, no.09, 2021 (SCI-Expanded)
Article / Article
INTERNATIONAL JOURNAL OF MATHEMATICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
(alpha, beta)-metrics, Einstein metrics, Ricci curvature, Ricci-flat
Istanbul Technical University Affiliated:
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.