守恒、惯性与时空几何
Conservation, Inertia, and Spacetime Geometry
摘要：
正如哈维·布朗在他的《物理相对论》一书中所强调的那样，广义相对论中的惯性运动最好被理解为一个定理，而不是一个公设。在这里，我讨论的状态的“守恒条件”，它指出，与非相互作用的物质相关的能量动量张量是协变发散自由，与这些定理。我认为守恒条件最好理解为广义相对论和许多其他理论中控制物质演化的微分方程的结果。最后，我讨论了确定某种时空几何的意义，以及这种几何与物质动力学性质之间的关系。
英文摘要：
As Harvey Brown emphasizes in his book Physical Relativity, inertial motion in general relativity is best understood as a theorem, and not a postulate. Here I discuss the status of the "conservation condition", which states that the energy-momentum tensor associated with non-interacting matter is covariantly divergence-free, in connection with such theorems. I argue that the conservation condition is best understood as a consequence of the differential equations governing the evolution of matter in general relativity and many other theories. I conclude by discussing what it means to posit a certain spacetime geometry and the relationship between that geometry and the dynamical properties of matter.
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