Group Theoretical Quantization of Schwarzschild and Taub-NUT

Details Group Theoretical Quantization of Schwarzschild and Taub-NUT Group Theoretical Quantization of Schwarzschild and Taub-NUT

1996-09-24

arxiv.org/abs/gr-qc/9609053v1

Phys.Lett. B388 (1996) 702-706

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, LaTex, accepted for publication in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(96)01221-X

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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