The wavefunction of a gravitating shell

doi:10.1134/s1063776110100079

DOE OSTI · 21448969

The wavefunction of a gravitating shell

Abstract

We have calculated a discrete spectrum and found an exact analytical solution in the form of Meixner polynomials for the wavefunction of a thin gravitating shell in the Reissner-Nordstroem geometry. We show that there is no extreme state in the quantum spectrum of the gravitating shell, as in the case of an extreme black hole.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ANALYTICAL SOLUTION BLACK HOLES COSMOLOGY FIELD THEORIES FUNCTIONS GEOMETRY GRAVITATION MATHEMATICAL SOLUTIONS MATHEMATICS POLYNOMIALS QUANTUM FIELD THEORY QUANTUM GRAVITY WAVE FUNCTIONS

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2010-10-15. The wavefunction of a gravitating shell. https://doi.org/10.1134/s1063776110100079

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