Ricci flat Finsler metrics by warped product
Differential Geometry
2023-07-10 v2
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.
Keywords
Cite
@article{arxiv.2012.05699,
title = {Ricci flat Finsler metrics by warped product},
author = {Patricia Marcal and Zhongmin Shen},
journal= {arXiv preprint arXiv:2012.05699},
year = {2023}
}
Comments
Typo in Equation (14.a) corrected