Beyond the Singularity of the 2-D Charged Black Hole

Abstract

Two dimensional charged black holes in string theory can be obtained as exact (SL(2,R)xU(1))/U(1) quotient CFTs. The geometry of the quotient is induced from that of the group, and in particular includes regions beyond the black hole singularities. Moreover, wavefunctions in such black holes are obtained from gauge invariant vertex operators in the SL(2,R) CFT, hence their behavior beyond the singularity is determined. When the black hole is charged we find that the wavefunctions are smooth at the singularities. Unlike the uncharged case, scattering waves prepared beyond the singularity are not fully reflected; part of the wave is transmitted through the singularity. Hence, the physics outside the horizon of a charged black hole is sensitive to conditions set behind the past singularity.

arXiv comment19 pages, 5 figures; v2: refs added, minor typos corrected; v3: references on the infinite blue shift at the inner horizon and minor corrections added

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Cited by in corpus (17)

• The Black Hole Singularity in AdS/CFT
• Phases of Quantum Gravity in AdS3 and Linear Dilaton Backgrounds
• Blackhole/String Transition for the Small Schwarzschild Blackhole of $Ad{S}_5\times S^5$ and Critical Unitary Matrix Models
• Type 0 Strings in a 2-d Black Hole
• Closed Timelike Curves and Holography in Compact Plane Waves
• A Short Review of Time Dependent Solutions and Space-like Singularities in String Theory
• The Charged Black Hole/String Transition
• Strings in a 2-d Extremal Black Hole
• The diagonal cosets of the Heisenberg group
• On the Resolution of the Time-Like Singularities in Reissner-Nordstrom and Negative-Mass Schwarzschild
• On Thermodynamical Properties of Some Coset CFT Backgrounds
• Analytic long-lived modes in charged critical plasma
• Stringy holography at finite density
• Solvable time-like cosets and holography beyond $AdS$
• $\frac{SL(2,\mathbb{R})\times U(1)}{U(1)}$ CFT, NS5$+$F1 system and single trace $T\bar{T}$
• $T\bar{T}$, Black Holes and Negative Strings
• One-loop effect in the charged 2D black hole near extremality