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Equation 141 · Part 2 · The Entry a Relabeling Cannot Write

Symbol T^munu

∇μTμν=0\nabla_\mu T^{\mu\nu} = 0
TμνT^{\mu\nu}

What this part means

TmT^munu is part of the quantity the equation computes from the expression on the right.

Its job in the formula

TmT^munu is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…“missing energy” in its own title is exactly the kind of object this subject’s cranks reach for first. State the settled physics plainly before anything else: the local conservation law of general relativity, ∇μ\nabla_\mu TμνT^{\mu\nu} = 0 , is a differential identity following from the Einstein field equations via the contracted Bianchi identity, and it holds in every spacetime — flat, curved, static, or violently dynamical — without exception. Nothing that follows questions it, qualifies it, or needs it to be…

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the article section

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