Here is a black and white kitchen with a black farm sink. It happens to be in a white cabinet but ties in well with the counters and other black in the kitchen.

I don't see a problem using a black sink at all but you might want to post a pic of your cabinet finish and granite samples so folks here can give their opinions and help you decide.

Here is a link that might be useful: Black Farm Sink

Given the color scheme you have mentioned, I think a black farm sink could work very well. However, the sink material can make all the difference. Just be aware that it can be quite hard to keep a black porcelain/enameled sink looking its best. I have a black porcelain sink in my master bath (one I inherited and is high up on my "got-to-go" list come reno time). It collects and showcases every spot imaginable from toothpaste to soap to plain water splashes. Every clean up includes a polishing. After 20+ years of living with it, I can hardly wait a day longer to replace it!

What marthavila said. Owning a shiny black sink is exactly like owning a shiny black car. Looks great just washed and waxed, but 5 minutes later.....

It's not the same case with a more matte finish in black like silgranite. It tends to hide your sins, not reveal them.