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.

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