Tachyon Back Reaction on $d=2$ String Black Hole

Abstract

We describe a static solution for $d=2$ critical string theory including the tachyon $T$ but with its potential $V(T)$ set to zero. This solution thus incorporates tachyon back reaction and, when $T=0$, reduces to the black hole solution. When $T\ne 0$ we find that (1) the Schwarzschild horizon of the above black hole splits into two, resembling Reissner-Nordstrom horizons and (2) the curvature scalar develops new singularities at the horizons. We show that these features will persist even when $V(T)$ is nonzero. We present a time dependent extension of our static solution and discuss some possible methods for removing the above singularities.

22 pages, TCD-3-93. Revised: minor typos corrected; `Notes added in Proof' along with more references

References in corpus (7)

• Stringy Quantum Effects in 2-Dimensional Black-Hole
• Matrix Models and Black Holes
• Matching Conditions and Gravitational Collapse in Two-Dimensional Gravity
• Black hole formation in $c=1$ String Field Theory
• Tachyon Splits the (d = 2 String) Black Hole Horizon and Turns it Singular
• Time-dependent perturbations in two-dimensional String Black Holes
• On the Mass of Two Dimensional Quantum Black Hole

Cited by in corpus (2)

• Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings
• Tachyon Field Quantization and Hawking Radiation