The Discussion About The Traditional Energy-momentum Pseudotensors Under A Nonzero Cosmological Constant

Energy-momentum conservation law plays an important role in all physics theories. In Newton mechanics, the energy-momentum of a close system is conservative, we can use a differential function to express this law,eg, (?)_uT^uv=0,here the tenser T^uv denotes the energy-momentum of the system, this expression has been widely recognized. In quantum field mechanics,we know the conservation of the energy-momentum is the conclusion of the lagrange density of the field ,which is unchanged under the transformation of replace and rotation in space-time. In last century, Einstein created General Relativity, when people use quantum field to define the energy-momentum tensor,there is not only one way to define. The general covariant function which has a cosmological constant when it created.we call the zero cosmological constant model standard universe model. But recently there are more and more evidences to show that the cosmological constant is not zero. So, if we use the energy-momentum definitions of standard universe model, it may cause some problems. This paper we will do some amendsions to these definitions ,our purpose is to regain the energy-momentum conservation which is destoried by the nonzero constant A.we do get a useful amendsion in one definition ,and we also check this remedy to several space-times, and finally we find our remedy is a trustable one.