Update: Joe Kissling raised some important objections in the comments - I'll play about a bit with black hole masses and update my question accordingly - any answer along similar lines might be outdated soon.
Update 2: I'm asking for the smallest feasible MBH here.
So I want a large power source to heat my new real estate on the Jovian moons. I create a micro black hole (MBH), maybe a few kg, maybe more and drop it into Jupiter. I expect the following to happen:
- the MBH absorbs mass and emits Hawking radiation
- Mass falling towards the MBH will heat up due to the high pressure near the MBH
- the MBH will find its way to the center of the gas giant
- Hawking radiation, even hard radiation like gamma rays, will be mostly absorbed by the gas giant and be converted to heat
- there will be no stellar fusion, as the overall pressure even near the event horizon will be too low
- Ultimately, the gas giant is consumed
My question is,
- Are my assumptions above what will happen wrong?
- how long will all of that take (how long till the gas giant heats up noticably, how long til its gone)?
- how hot will my gas giant become (will it remain an infrared source or become hot enough to shine in visible light)?
I hope for reasonable back of the envelope calculations or reasoned arguments
Strangely, the only fictional treatments of MBH as power source I recall are from Charels Stross (Singularity Sky, Iron Sunrise) and Karl Schroeder (One of the Gennady short stories) and none involeved a gas giant. But I'm somehow pretty sure that MBH meets Gas Giant has been done in fiction, and maybe the author did some math to back it up - maybe an avenue for research? I just don't know where to start.