Wednesday 15 November 2017

general relativity - Is every solution of Einstein field equations unique?


Einstein's equation is



$$8 \pi T_{ab} = G_{ab},$$


where the left side contains the stress-energy tensor and the right side contains the Einstein tensor.


Is there exactly one unique stress-energy tensor corresponding to a given spacetime curvature? Or is it possible for one curvature (i.e. one spacetime metric) to be produced by multiple different mass configurations?




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