A Harmonic Space Approach to Spherically Symmetric Quantum Gravity

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dc.creatorHollmann, Helia
dc.date1996-10-18
dc.date.accessioned2026-07-07T03:31:20Z
dc.date.available2026-07-07T03:31:20Z
dc.descriptionAfter dimensional reduction the stationary spherically symmetric sector of Einstein's gravity is identified with an SL(2,R)/SO(2) Sigma model coupled to a one dimensional gravitational remnant. The space of classical solutions consists of a one parameter family interpolating between the Schwarzschild and the Taub-NUT solution. A Dirac Quantization of this system is performed and the observables -- the Schwarzschild mass and the Taub-NUT charge operator -- are shown to be self-adjoint operators with a continuous spectrum ranging from $-\infty$ to $\infty$. The Hilbert space is constructed explicitely using a harmonic space approach.
dc.description30 pages, Latex
dc.identifierhttps://arxiv.org/abs/gr-qc/9610042
dc.identifierhttp://arxiv.org/abs/gr-qc/9610042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35824
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA Harmonic Space Approach to Spherically Symmetric Quantum Gravity
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