Leumas Physics

Gravitational Time Dilation

t = t_0 / sqrt(1 - 2·G·M/(r·c^2))

What it says

A clock deep in a gravity well runs slow compared with one far away; this gives the far-away time for a given local time.

Symbols

SymbolQuantityDimension
tFar-away time (s)T
t_0Local proper time (s)T
MMass (kg)M
rDistance from centre (m)L

Work it out

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Fill in all but one: t_0, M, r, t are all empty.

Filed under Astrophysics · derive through it in the explorer