The warped generalized Lagrange space and its application in physics

In this paper, we define the warped generalized Lagrangian (WGL) spaces and then examine some of their properties. In the following, we generalize the ``Tavakol-van den Bergh" condition in the theory of relativity (see 5) in this space, which is an example of the application of the warped gener...

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Bibliographic Details
Main Authors: Yousef Alipour Fakhri, Mojtaba Garossi
Format: Article
Language:English
Published: Amirkabir University of Technology 2023-03-01
Series:AUT Journal of Mathematics and Computing
Subjects:
Online Access:https://ajmc.aut.ac.ir/article_4783_aba2de1c0d3b45132bc2af0e4118a739.pdf
Description
Summary:In this paper, we define the warped generalized Lagrangian (WGL) spaces and then examine some of their properties. In the following, we generalize the ``Tavakol-van den Bergh" condition in the theory of relativity (see 5) in this space, which is an example of the application of the warped generalized Lagrangian spaces in relativity (Theorem 4.6). We show that condition EPS in these spaces holds provided that the warped function $f$ satisfies the condition $\Big(e^{2f}\Big)^i=0$.
ISSN:2783-2449
2783-2287