A Finslerian extension of the gravitational field
type: Item
instance of: scholarly article
title: A Finslerian extension of the gravitational field
zbMATH Open document ID: 0603.53020
author: Satoshi Ikeda
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The author has attempted a structural generalization of the gravitational field to Finsler spaces. A new Finsler metric \(g_{\lambda \kappa}(x,y)=\gamma_{\lambda \kappa}(x)+h_{\lambda \kappa}(y)\) is constructed by unifying the Riemannian metric of the external field, \(\gamma_{\lambda \kappa}(x)\) spanned by points \(\{\) \(x\}\) and the Riemannian metric of the internal field, \(h_{\lambda \kappa}(y)\) spanned by vectors \(\{\) \(y\}\). The connections with respect to the new metric is also determined.
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53B50
zbMATH DE Number: 3973752
zbMATH Keywords: gravitational field
zbMATH Keywords: Finsler spaces
reviewed by: S. N. Pandey
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3973752