Stability Analysis of the Dilatonic Black Hole in Two Dimensions

Details Stability Analysis of the Dilatonic Black Hole in Two Dimensions Stability Analysis of the Dilatonic Black Hole in Two Dimensions

1995-02-18

arxiv.org/abs/hep-th/9502114v1

Phys.Lett. B347 (1995) 217-221

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTex, no figures

Scientific paper

10.1016/0370-2693(95)00054-O

We explicitly show that the net number of degrees of freedom in the two-dimensional dilaton gravity is zero through the Hamiltonian constraint analysis. This implies that the local space-time dependent physical excitations do not exist. From the linear perturbation around the black hole background, we explicitly prove that the exponentially growing mode with time is in fact eliminated outside the horizon. Therefore, the two-dimensional dilation gravity is essentially stable.

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