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What happens if we differentiate spacetime with respect to time? [closed]
Essentially, what would differentiating space-time with respect to time provide us with? What are the constraints associated with such operations? Is it possible to obtain a useful physical quantity ...
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Motivation for covariant derivative axioms in the context of General Relativity
In General Relativity the idea of a covariant derivative on a manifold is quite important and it is usually defined by a set of axioms:
Let $M$ be a smooth manifold. A covariant derivative $\nabla$ ...
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