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arxiv: gr-qc/9405042 · v1 · submitted 1994-05-20 · 🌀 gr-qc · hep-th

Singularity Free Quasi-Classical Schwarzschild Space-Times

classification 🌀 gr-qc hep-th
keywords quasi-classicalschwarzschildclassicalfreequantizationsingularitystatealpha
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Using canonical (Schrodinger) quantization of spherically symetric gravitational dust systems, we find the quasi-classical (coherent) state, |\alpha^{(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.

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