Published January 1, 2021 | Version v1
Journal article Open

On Einstein Finsler metrics

  • 1. Antalya Bilim Univ, Dept Ind Engn, Antalya, Turkey
  • 2. Istanbul Bilgi Univ, Dept Math, Istanbul, Turkey
  • 3. Istanbul Tech Univ, Dept Math, Istanbul, Turkey

Description

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.

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