The following is a summation of theory on the Schwarzschild Wormhole. If you want to indulge further click on the website at the bottom. Your thoughts are invited.
Do Schwarzschild wormholes really exist? Schwarzschild wormholes certainly exist as exact solutions of Einstein's equations.
The complete Schwarzschild geometry consists of a black hole, a white hole, and two Universes connected at their horizons by a wormhole.
A white hole is a black hole running backwards in time. Just as black holes swallow things irretrievably, so also do white holes spit them out. White holes cannot exist, since they violate the second law of thermodynamics. Unfortunately it is impossible for a traveler to pass through the wormhole from one Universe into the other. A traveler can pass through a horizon only in one direction. First, the traveler must wait until the two white holes have merged, and their horizons met. The traveler may then enter through one horizon. But having entered, the traveler cannot exit, either through that horizon or through the horizon on the other side. The fate of the traveler who ventures in is to die at the singularity which forms from the collapse of the wormhole.
In principle, a wormhole could be stabilized by threading its throat with `exotic matter'.
The shell of exotic matter has negative mass and positive surface pressure. The negative mass ensures that the throat of the wormhole lies outside the horizon, so that travelers can pass through it, while the positive surface pressure prevents the wormhole from collapsing.
http://casa.colorado.edu/~ajsh/schww.html













