A tear in spacetime is basically a singularity in general relativity, that is a point where parameters goes to infinity. In theory it is possible for naked singularities (that is not hidden in the center of a blackhole) to exist (Anders gave a nice link about one I didn't knew about), yet none was ever seen, leading to the "cosmic censorship" proposal.
Since infinity doesn't feel very physical, it really means general relativity is wrong at this scale (and the singularities are not the only problem).
That's why we need a quantum theory of gravitation, as long as we only have general relativity we cannot modelize properly what is happening, because we will really do maths and not physics.