论文标题
三维麦克斯韦扩展牛顿重力和固定限制
Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
论文作者
论文摘要
在目前的工作中,我们发现了三个时空维度的新牛顿重力模型。我们首先提出了纽顿牛顿重力的麦克斯韦人版本,该版本是特定$ u(1)$的非相关限制 - 增强的麦克斯韦·切恩·塞蒙斯重力的限制。我们表明,扩展的牛顿重力似乎是特定的子案例。然后,还探索了麦克斯韦扩展理论的宇宙学常数。为此,我们考虑了放大对称性的非相关性极限。通过将半群膨胀方法应用于增强的NAPPI-ONGITTEN代数来提出获得我们结果的替代方法。还讨论了考虑谎言代数扩展程序的优势。
In the present work we find novel Newtonian gravity models in three spacetime dimensions. We first present a Maxwellian version of the extended Newtonian gravity, which is obtained as the non-relativistic limit of a particular $U(1)$-enlargement of an enhanced Maxwell Chern-Simons gravity. We show that the extended Newtonian gravity appears as a particular sub-case. Then, the introduction of a cosmological constant to the Maxwellian extended Newtonian theory is also explored. To this purpose, we consider the non-relativistic limit of an enlarged symmetry. An alternative method to obtain our results is presented by applying the semigroup expansion method to the enhanced Nappi-Witten algebra. The advantages of considering the Lie algebra expansion procedure is also discussed.