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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Amirkabir University of Technology
2023-03-01
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Series: | AUT Journal of Mathematics and Computing |
Subjects: | |
Online Access: | https://ajmc.aut.ac.ir/article_4783_aba2de1c0d3b45132bc2af0e4118a739.pdf |
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 $\Big(e^{2f}\Big)^i=0$. |
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ISSN: | 2783-2449 2783-2287 |