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X, Y and Z Coordinates in General Relativity
In general relativity it's very important to distinguish the physically real things from the coordinate artifacts. There are no natural coordinates to use, so you can think that something is natural and telling you something is real, but it's really not. Why are those mues and nues appearing over and over again? Because they are indices in space time, not in space. Then Einstein's equation is expressed as r mu nu minus one half which equals eight pi g t mu nu.