In this short communication, we have used one special class of non-standard Lagrangians which is of exponential introduced by El-Nabulsi in his analysis of several problems arising in classical and quantum dynamics to construct a cosmological model that is characterized by a negative Newton’s gravitational constant. This approach is characterized by a repulsive gravity which may solve several problems that currently overwhelm the standard theory of gravitation. We show that repulsive/negative gravity arises naturally if the El-Nabulsi exponential Lagrangian is used in place of the conventional Lagrangian. Furthermore, it has been shown that this approach can reproduce known results in modern cosmology which are in agreement with recent observational data. We speculate that El-Nabulsi non-standard exponential Lagrangian can explain the observed accelerating expansion of the universe and bring some new insights into understanding the nature of negative gravitational constant and its consequences.

在这篇简短的交流中，我们使用了一类特殊的非标准拉格朗日量，它是 El-Nabulsi 在分析经典和量子动力学中出现的几个问题时引入的指数拉格朗日量，构建了一个以负牛顿引力为特征的宇宙学模型持续的。这种方法的特点是排斥引力，可以解决目前压倒标准引力理论的几个问题。我们证明，如果使用 El-Nabulsi 指数拉格朗日函数代替传统的拉格朗日函数，排斥/负重力就会自然产生。此外，事实证明，这种方法可以重现现代宇宙学中的已知结果，这些结果与最近的观测数据一致。我们推测El-Nabulsi非标准指数拉格朗日可以解释观测到的宇宙加速膨胀，并为理解负引力常数的本质及其后果带来一些新的见解。