Some Ricci-Flat $(α,β)$-Metrics
Year: 2015
Type: preprint
Abstract: In this paper, we study a special class of Finsler metrics, $(α,β)$-metrics, defined by $F = αϕ(\fracβα)$, where $α$ is a Riemannian metric and $β$ is a 1-form. We find an equation that characterizes Ricci-flat $(α,β)$-metrics under the condition that the length of $β$ with respect to $α$ is constant.
Source: arXiv (Cornell University)
Authors: Sevim, Esra Sengelen, Ulgen, Semail
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4394656552