Equation 143 · Part 2 · The Entry a Relabeling Cannot Write
Symbol T^munu
What this part means
unu is part of the quantity the equation computes from the expression on the right.
Its job in the formula
unu is part of the quantity the equation computes from the expression on the right.
Full expression→Symbol T^munu→Article meaning
The passage around this formula
Cosmology removes the Killing vector altogether rather than merely complicating it. The Friedmann-Lemaître-Robertson-Walker spacetime describing the large-scale universe has no timelike Killing vector in comoving coordinates: its metric depends explicitly on time through the scale factor, and no coordinate change removes that dependence globally. There is consequently no analog of the ADM or Bondi construction supplying a global conserved energy for, say, the universe’s total photon population. A single photon’s cosmological redshift is the precise observational face of that absence: its frequency, and with it its energy, decreases as the universe expands, and this is exactly what an absent…
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 surrounding passage
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