论文标题
关于重力与非全面理论之间的（在）等效性
About the (in)equivalence between holonomic versus non-holonomic theories of gravity
论文作者
论文摘要
我们研究了重力理论的全体性与非全面框架描述相当的情况。事实证明，从经典上讲，等效性以独立于特定动力学和/或时空维度的方式保持。这包括一般度量携带动力学。进行了全球束理论研究，发现等效原则为罪魁祸首。等价原则成立只有等效性。当考虑到Vielbein字段的不可变形配置时，这不是预期的。在这种情况下，对时空的重力持有人的仪表理论描述，并且必须确定重力是时空几何或内部量规理论。
We investigate the scenarios in which a holonomic versus a non-holonomic frame description of gravity theories are equivalent. It turns out that classically, the equivalence holds in a way that is independent of the particular dynamics and/or spacetime dimension. This includes general metric-affine dynamics. A global bundle-theoretical investigation is carried out, uncovering the equivalence principle as the culprit. The equivalence holds as long as the equivalence principle holds. This is not something to be expected when non-invertible configurations of the vielbein field are taken into account. In such case, the gauge-theoretical description of gravity unsolders from spacetime, and one has to decide if gravity is spacetime geometry or an internal gauge theory.
