标题： 相对论引力理论中的协方差和规范不变性 显示英文标题

标题： Covariance and gauge invariance in relativistic theories of gravity

摘要： 任何引力的度规理论，其与量子粒子的相互作用由协变波方程描述，则等价于满足麦克斯韦型方程的矢量理论。 此结果不依赖于度规张量的任何特定场方程，而仅依赖于协变性。 此结论是在线性情况下推导出来的，但可以扩展到度规偏差的任意阶近似。 在这种引力与物质相互作用的表述中，角动量和动量是局部守恒的。 显示英文摘要

摘要： Any metric theory of gravity whose interaction with quantum particles is described by a covariant wave equation is equivalent to a vector theory that satisfies Maxwell-type equations identically. This result does not depend on any particular set of field equations for the metric tensor, but only on covariance. It is derived in the linear case, but can be extended to any order of approximation in the metric deviation. In this formulation of the interaction of gravity with matter, angular momentum and momentum are conserved locally.