Abstract
Stationary spherically symmetric gravity is equivalent to a nonlinear coset sigma model on SL(2, R )/SO(2) coupled to a gravitational remnant. Classically there are stationary solutions besides the static Schwarzschild metric labeled by the Schwarzschild mass m and the Taub-NUT charge l. Imposing the SL(2, R ) 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.
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