Here's a bunch of answers for all the prior posts.
1. As has been mentioned, if the amp has already been plugged into the AC line then there's no gain to be had by using a variac to bring it up slowly now. Whatever happened when full voltage was applied has already occurred.
You should know that to a certain extent capacitors are self-healing. If there is a short at some spot inside the cap it will often arc at that spot and burn open, fixing the short. So if any of that was going to occur in the original poster's amp, it has done so by now.
2. Bringing up the voltage slowly does no harm to your tubes at all. No "soot" forms.
Be aware that bringing up the voltage slowly is ineffective if there is a tube rectifier in the gear you're working on. This is because no current passes through the rectifier until it gets enough voltage to function. Once you get the voltage high enough and the rectifier starts passing current you are already not too far from the wall voltage. There are ways around this, but they involve temporary subbing SS rectification.
3. As was said previously, don't leave 30-40 year old caps in there. Is not a question of IF they will fail, it's WHEN! :yes:
Those caps were designed to go 10-15 years, so they are WAY past their lifetime. And even if they don't blow up, often the capacitance value is just a fraction of what it should be.
Bite the bullet and replace them (along with the cathode bypass and coupling caps)! You'll be happy you did.