Noether's Theorems in General Relativity

A Brief Review Noether's Theorems and their Application to General Relativity

In this article, we will review the original form of noether s theorem and its application in general relativity.Some basic equations of special relativity will be reviewed and contrasted with the equations in general relativity.A formulation of noether s theorem in curved space is presented and two examples are given.We will be most interested in the role of noether s theorem in conservation laws.The standard cosmology is an example.