Static Quantization of Twodimensional Dilaton Gravity and Black Holes
Abstract
Twodimensional matterless dilaton gravity is a topological theory and can be classically reduced to a (0+1)dimensional theory with a finite number of degrees of freedom. If quantization is performed, a simple gauge invariant quantum mechanics is obtained. The properties of the gauge invariant operators and of the Hilbert space of physical states can be determined. In particular, for Ndimensional pure gravity with (N2)dimensional spherical symmetry, the square of the ADM mass operator is selfadjoint, not the mass itself.
 Publication:

Gravitation and Cosmology
 Pub Date:
 September 1999
 arXiv:
 arXiv:hepth/9907052
 Bibcode:
 1999GrCo....5..161C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 12 pages, no figures, LaTeX