Stability Analysis of the Dilatonic Black Hole in Two Dimensions

Abstract

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.

10 pages, LaTex, no figures

References in corpus (5)

• Evanescent Black Holes
• Black Hole Evaporation in 1+1 Dimensions
• Stringy Quantum Effects in 2-Dimensional Black-Hole
• Matrix Models and Black Holes
• Tachyon Splits the (d = 2 String) Black Hole Horizon and Turns it Singular

Cited by in corpus (10)

• Entropy of the BTZ Black Hole in 2+1 Dimensions
• Kaluza-Klein Towers on General Manifolds
• Effects of Noncommutativity on the Black Hole Entropy
• Dirac quasinormal modes of two-dimensional charged Dilatonic Black Holes
• AdS_2 and quantum stability in the CGHS model
• Blushift of a tachyon in the charged 2D black hole
• Fermionic greybody factors of two and five-dimensional dilatonic black holes
• 2D quantum dilaton gravitational Hamiltonian, boundary terms and new definition for total energy
• Schwarzschild-de Sitter black hole in canonical quantization
• An infinite number of potentials surrounding 2d black hole