The wave function 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 wave function of a thin gravitating shell in the Reissner-Nordstrom geometry. We show that there is no extreme state in the quantum spectrum of the gravitating shell, as in the case of extreme black hole.

7 pages, 1 figure

References in corpus (1)

• Vacuum shell in the Schwarzschild-de Sitter world

Cited by in corpus (2)

• Spherically symmetric double layers in Weyl+Einstein gravity
• On the theory of spherically symmetric thin shells in conformal gravity