# Time passing near a black hole

Given distance $d$ from a normal black hole with mass $m$, how much seconds will pass at that distance while in infinite distance from the black hole $t$ seconds has passed?

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For a Schwarzschild metric you should use $\Delta s=\Delta t g_{00}$ being in this case $g_{00}=\sqrt{1-\frac{r_g}{r}}$ and $r_g=\frac{2GM}{c^2}$ the Schwarzschild radius. In your case you will put $r=d$.
Depends on whether $d$ is measured from the center or the event horizon (or some other reference point)... though the question wasn't clear on that. –  David Z Dec 18 '11 at 0:15