Regensburg 1998 – wissenschaftliches Programm
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GR: Gravitation und Relativitätstheorie
GR 7: Quantengravitation
GR 7.2: Vortrag
Donnerstag, 26. März 1998, 17:05–17:25, H47
Quantization of the Reissner–Nordström Black Hole — •Helia Hollmann1, P. Breitenlohner2, and D. Maison2 — 1DAMTP, Cambridge — 2Max–Planck–Institut für Physik, München
The stationary SO(3) symmetric sector of the Einstein–Maxwell theory is equivalent to a nonlinear coset sigma model on SU(2,1)/S[U(1,1) × U(1)] coupled to a gravitational remnant. A generic classical solution which obeys the condition of asymptotic flatness is characterized by four parameters: the Schwarzschild mass m, the Taub–NUT charge l, and the electric and magnetic charges q and p, respectively. Imposing the SU(2,1) symmetry at the quantum level the Wheeler–DeWitt equation becomes related to the Casimir operator on the coset, which makes the system amenable to exact quantization. For the static truncation of this model the quantization can be performed explicitely. In the classical sector these solutions correspond to the Reissner–Nordström family.