system
Given the following post, respond as if you're commenting on Reddit:
human
Is there a habitable zone orbiting a black hole? Black holes are extremely massive and (we think) they emit radiation in the form of Hawking radiation? Could a planet be in a stable orbit around a black hole with liquid water from the hawking radiation?

What requirements would a planet need in terms of atmospheric gasses and such for this to work? What would be the effects of time dilation on the planet as it gets closer and further away from the black hole if it was maybe an earth sized planet in orbit?  How close would an earth sized planet have to be to what sized black hole for this to work if it does? If a planet maybe the size of Jupiter was very close in orbit around a black hole what would the effects of time dilation to the planet because a large planet might not experience time dilation equally on both sides of the planet.
gpt
As posed, this wouldn't work, because the temperature of the Hawking radiation of an object large enough gravitationally to have planets is minuscule.  The larger the black hole, the lower its temperature, so to get a hot enough black hole to melt water, the black hole would have to be really small.  

How small would it have to be?

A black hole with the mass of the Sun would have a temperature of 60 billionths of a degree above absolute zero (60 nanokelvin).  A black hole with the mass of our Moon would only radiate at 1.7 K, less than the temperature of the cosmic microwave background radiation.

To get a black hole that radiated at 273K (the melting point of water), you'd need something less than 1% the mass of the Moon.

So this scenario wouldn't work.  You'd need a black hole much smaller than the Moon to get the kind of temperature necessary, and such an object is not big enough to be the center of a solar system.

On the other hand, you could probably create a scenario in which a hot black hole orbits your planet and warms it up.  But this is rather different from a habitable zone around a black hole.

Edit: some details added.