You can read about it in one of his autobiographies. It is not such a secret nowadays.

How come? he still has his human mind, he is just not identified with it. And this mind can fall in love. The point is that there is no addiction there in the enlightened case, he is not attached to it. It is a big difference...

Some traditions teach that an "enlightened" being will not pursue such worldly things. Other traditions teach that They will simply not be attached to them or cling to them.

Why is it important to know whether he had a lover or not? I think it is important to look within and verify why it is important for you to know this information. When we get caught up in analyzing the behavior of others, I think it can be more of a distraction rather than a help as far as our spiritual journey in concerned. Our ego says, "Hey! Look what this person did! Maybe we should discount his teachings!" rather than looking at oneself. It is how the ego preserves itself. Distraction from the path.

Just my two cents. I hope you get something out of it. Namaste.

Santthosh
Do not bother about Krishna Murthy, whether he had a lover or not. But still he has many lovers,even after his death, and more are in waiting list.
Do not dig some one's grave,it is better to dig your own mind, and no all these restrictions are part of the illusion.