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arxiv: gr-qc/0406051 · v1 · submitted 2004-06-11 · 🌀 gr-qc

FRW cosmological model inside an isolated Schwarzschild black hole

classification 🌀 gr-qc
keywords blackcosmologicalharmonicholemassmodeloscillatorschwarzschild
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Using the canonical quantum theory of spherically symmetric pure gravitational systems, we present a direct correspondence between the Friedmann-Robertson-Walker (FRW) cosmological model in the interior of a Schwarzschild black hole and the nth energy eigenstate of a linear harmonic oscillator. Such type of universe has a quantized mass of the order of the Planck mass and harmonic oscillator wave functions

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