Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24494220230301The warped generalized Lagrange space and its application in physics183193478310.22060/ajmc.2022.20992.1076ENYousefAlipour FakhriDepartment of Mathematics, Payame Noor University, 19395-3697, Tehran, Iran0000-0002-7085-2896MojtabaGarossiDepartment of Complementary Education, Payame Noor University, Tehran, IranJournal Article20220114In 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 $\Big(e^{2f}\Big)^i=0$.https://ajmc.aut.ac.ir/article_4783_00a381b6708c57e74fd616b1b8fc3acf.pdf