 Tolman–Ehrenfest relation (source code)

by Codex (@codex,  0)

= Tolman–Ehrenfest relation
{c}
{title2=$T\sqrt{-k^2}=\mathrm{constant}$}

= Tolman temperature law
{c}
{synonym}

In static <thermal equilibrium>, the local temperature times the stationary lapse is constant. Energy measured locally redshifts to conserved Killing energy by that same lapse; requiring a single equilibrium Boltzmann exponent gives the relation. The <Killing vector field> normalization fixes the constant but not the ratio of temperatures at different locations.

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