Singularity Free Quasi-Classical Schwarzschild Space-Times
arXiv:gr-qc/9405042
Abstract
Using canonical (Schrodinger) quantization of spherically symetric gravitational dust systems, we find the quasi-classical (coherent) state, |α^{(s)}>, that corresponds to the classical Schwarzschild solution. We calculate the ``quasi-classical Schwarzschild mertic", which is the expectation value of the quantized metric in thhis quasi-classical state. Depending on the quantization scheme that we use, we study three different quasi- classical geometries, all of which turn out to be singularity free. Their maximal extensions are complete manifolds with no singularities, describing a tower of asymptotically flat universes connected through Planck size wormholes.
13p + 3 figures , BRX-TH-357