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Time Dilation

The slowing down of time in a gravitational field, predicted by General Relativity, becoming increasingly pronounced as an object approaches a black hole's event horizon.

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The statement of the theorem

For a static observer at radial coordinate

r

in the Schwarzschild spacetime, the relationship between the proper time

d\tau

and the coordinate time

dt

is given by the metric component

g_{00}

: \n

\frac{d\tau}{dt} = \sqrt{-g_{00}} = \sqrt{1 - \frac{2GM}{rc^2}}

Source: Wikipedia