Exact Solutions of Four Dimensional Black Holes in String Theory

Abstract

We construct an exact CFT as an SL(2,R)xSU(2)/U(1)^2 gauged WZW model, which describes a black hole in 4 dimensions. Another exact solution, describing a black membrane in 4D (in the sense that the event horizon is an infinite plane) is found as an SL(2,R)xU(1)^2/U(1) gauged WZW model. Finally, we construct an exact solution of a 4D black hole with electromagnetic field, as an SL(2,R)xSU(2)xU(1)/U(1)^2 gauged WZW model. This black hole carries both electric and axionic charges.

19 pages

References in corpus (7)

• Exact Three Dimensional Black Holes in String Theory
• Twisting Classical Solutions in Heterotic String Theory
• A Closed, Expanding Universe in String Theory
• Conformally Exact Metric and Dilaton in String Theory on Curved Spacetime
• Effective action of gauged WZW model and exact string solutions
• Semiclassical vs. Exact Solutions of Charged Black Hole in Four Dimensions and Exact O(d,d) Duality
• Coset Models Obtained by Twisting WZW Models and Stringy Charged Black Holes in Four Dimensions

Cited by in corpus (13)

• Conformally Exact Metric and Dilaton in String Theory on Curved Spacetime
• Three-dimensional black holes from deformed anti-de Sitter
• Global Analysis of New Gravitational Singularities in String and Particle Theories
• Conformally Exact Results for SL(2,R)\times SO(1,1)^{d-2}/SO(1,1) Coset Models
• Exact Effective Action and Spacetime Geometry in Gauged WZW Models
• $SL(2,R)xSU(2)/R^2$ string model in curved spacetime and exact conformal results
• String Theory: exact solutions, marginal deformations and hyperbolic spaces
• A Conformal Field Theory of a Rotating Dyon
• Gravitational instantons and black plane solutions in 4-d string theory
• Non-Singular String-Cosmologies From Exact Conformal Field Theories
• Nilpotent Gauging of SL(2,R)$WZNW$ models, and Liouville Field
• Deformations of anti-de Sitter black holes
• String gravitational equations with Hermitian structure