Noether定理与引力场的能量动量问题

本文将Noether定理应用于包含规范场的物理系统,得到一组普适恒等式,即广义Noether恒等式;将这组恒等式运用于引力场,得到与现代场论形式上一致的引力场的能量动量表达式及引力场方程的场——Mills形式;证明了在Poincare规范理论中,引力场的正则能量动量与对称能量动量的定义一致。

Noether's Theorem and Energy-momentum of The Gravitationa field

Noether's theorem are used to physical systems including gauge fields and some universal identities i.e. the generalized Noether's identities are obtained. These identities are used to the gravitational field, and the definition of the energymomentum of the gravitational field is introduced as well as the Yang-Mills form of the gravitational field equations, which is formly consistant with modern field theory. It is proved that in Poincare gauge theory the canonical definition of the energy-momentum of the gravitational field is consistant with the symmetric one.