Ricci flat Finsler metrics by warped product

Abstract

In this work, we consider a class of Finsler metrics using the warped product notion introduced by Chen, S. and Zhao (2018), with another "warping", one that is consistent with static spacetimes. We will give the PDE characterization for the proposed metrics to be Ricci-flat and explicitly construct two non-Riemannian examples.

Typo in Equation (14.a) corrected

References in corpus (1)

• On the analyticity of static solutions of a field equation in Finsler gravity

Cited by in corpus (3)

• The Einstein-Hilbert-Palatini formalism in Pseudo-Finsler Geometry
• The Finsler spacetime condition for (α,β)-metrics and their isometries
• On Douglas warped product metrics