标题： 关于庞加莱和洛伦兹引力之间的差异 显示英文标题

标题： On the difference between Poincaré and Lorentz gravity

摘要： 广义相对论的庞加莱不变性通常被解释为洛伦兹不变性加上微分同胚不变性。 在本文中，通过引入局部惯性坐标（LIC），表明具有洛伦兹和微分同胚不变性的理论不一定具有庞加莱不变性。 实际上，那里的能量-动量守恒被破坏了。 另一方面，借助LIC，庞加莱不变性被重新解释为一种内部对称性。 在此形式中，导出了一个之前未被充分探讨的守恒定律。 显示英文摘要

摘要： The Poincar\'e invariance of GR is usually interpreted as Lorentz invariance plus diffeomorphism invariance. In this paper, by introducing the local inertial coordinates (LIC), it is shown that a theory with Lorentz and diffeomorphism invariance is not necessarily Poincar\'e invariant. Actually, the energy-momentum conservation is violated there. On the other hand, with the help of the LIC, the Poincar\'e invariance is reinterpreted as an internal symmetry. In this formalism, the conservation law is derived, which has not been sufficiently explored before.