By how much exactly would the time flow be slown down inside a gravity room?

A super alien warrior goes training inside a gravity room. It's a room with a flat floor, but the surface gravity of the room can be modified at the push of a button.

But under general relativity a higher gravity leads to a slower time flow.

So my question is: what is the expression of $\dfrac{t_{in}}{t_{out}}$ in terms of $g$?

$t_{in}$ is the time elapsing inside the gravity room

$t_{out}$ is the time elapsing outside the gravity room (with no gravity to influence the flow of time)

$g$ is the surface gravity inside the gravity room (in $m.s^{-2}$)

posted over 9 years ago

BuildingBetterWorlds‭

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