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.

So my question is: what is the expression of

\frac{t_{i n}}{t_{o u t}}

in terms of

g

t_{o u t}

is the time elapsing outside the gravity room (with no gravity to influence the flow of time)

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

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