Year: 1995
Type: article
Abstract: We consider the most general dilaton gravity theory in 1+1 dimensions. By suitably parametrizing the metric and scalar field we find a simple expression that relates the energy of a generic solution to the magnitude of the corresponding Killing vector. In theories that admit black hole solutions, this relationship leads directly to an expression for the entropy S=2\ensuremath{\pi}${\mathrm{\ensuremath{\tau}}}_{0}$/G, where ${\mathrm{\ensuremath{\tau}}}_{0}$ is the value of the scalar field (in this parametrization) at the event horizon. This result agrees with the one obtained using the more general method of Wald. Finally, we point out an intriguing connection between the black hole entropy and the imaginary part of the ``phase'' of the exact Dirac quantum wave functionals for the theory.
Authors: J. Gegenberg, G. Kunstatter, D. Louis-Martinez
Institution: University of New Brunswick
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2170551997