God's Hell

I've skipped reading the Bible for many years. I am not a disbeliever but I cannot be counted as a churchgoer. Yesterday I attended a kind of informal preaching titled "Where are we heading?" if I recall it correctly. One bottom line was that for non believers eternal torment awaits in hell.
I put myself the questions: if God is the outmost goodness and righteousness can He allow to exists eternal sufferance? For finite sins is it correct to receive everlasting punishment? I have never believed in the existance of hell, I've allways thought of it as an everlasting death.
Is my belief correct? I don't know. But what I can say that there is a multitude of expressed opinions from theologians for and against the existance of hell and some even admit that for this there is no clear answer in the Bible. At least I can provide some links to read and think about.

What Does the Bible Teach About Hell?

The Bible Hell

The Bible Truth About Hades and Hell Fire

Infinite Punishment for Finite Sins

Problem of Hell