We know that if the action of a particular theory cannot be differentiated with respect to the metric tensor , then we say that we have a topological field theory . In general relativity, the einstein's field equation is actually the equation of motion of einstein-hilbert action . Now , the equation of motion is achieved through variation of the action with respect to the metric tensor , and , of course the variation must have zero on the right hand side of the equation . Does that imply that its a topological theory ?
2026-04-09 11:54:07.1775735647
Is general relativity a topological theory ?
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