Instability of a two-dimensional extremal black hole

Abstract

We consider the perturbation of tachyon about the extremal ground state of a two-dimensional (2D) electrically charged black hole. It is found that the presenting potential to on-coming tachyonic wave takes a double-humped barrier well. This allows an exponentially growing mode with respect to time. This extremal ground state is classically unstable. We conclude that the 2D extremal electrically charged black hole cannot be a candidate for the stable endpoint of the Hawking evaporation.

9 pages 2 figures, RevTeX, to be published in Phys. Rev D, to obtain gifures contact Author ([email protected])

References in corpus (6)

• Entropy, Area, and Black Hole Pairs
• Action and Entropy of Extreme and Non-Extreme Black Holes
• Charged Black Holes in Two-Dimensional String Theory
• Semiclassical Extremal Blackholes
• Dilaton Gravity and No-Hair Theorem in Two Dimensions
• Blushift of a tachyon in the charged 2D black hole

Cited by in corpus (3)

• The classical solutions of two-dimensional gravity
• New divergences of tachyon in the two-dimensional charged black holes
• Two-dimensional extremal black holes