Observables for Two-Dimensional Black Holes

Details Observables for Two-Dimensional Black Holes Observables for Two-Dimensional Black Holes

1994-08-11

arxiv.org/abs/gr-qc/9408015v1

Phys.Rev. D51 (1995) 1781-1786

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, latex

Scientific paper

10.1103/PhysRevD.51.1781

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 $S=2\pi \tau_0/G$, where $\tau_0$ 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.

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