A fresh look at some questions surrounding black holes
  The modern notion of a black hole singularity is considered with reference to the Schwarzschild solution to Einstein's field equations of general relativity. A brief derivation of both the original and the modern line elements is given. The argument is put forward that the singularity occurring within the Schwarzschild line element that has been associated with the radius of the black hole event horizon is, in fact, merely a mathematical occurrence and does not exist physically. The real aim here, however, is to attempt to open up the whole problem, draw some conclusions, but finally to urge everyone to consider the points raised with no preconceived opinions and then come to their own final conclusion. 
M. Anyon and J. Dunning-Davies