Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-11-21
Nucl.Phys.B421:80-110,1994
Physics
High Energy Physics
High Energy Physics - Theory
42 pages, (typographical errors in pages 33 and 35)
Scientific paper
10.1016/0550-3213(94)90225-9
We derive a charged black hole solution in four dimensions described by $SL(2,R)\times SU(2)\times U(1)/U(1)^2$ WZW coset model. Using the algebraic Hamiltonian method we calculate the corresponding solution that is exact to all orders in ${1\over k}$. It is shown that unlike the 2D black hole, the singularity remains also in the exact solution, and moreover, in some range of the gauge parameter the space-time does not fulfil the cosmic censor conjecture, $i.e.$ we find a naked singularity outside the black hole. Exact dual models are derived as well, one of them describes a 4D space-time with a naked singularity. Using the algebraic Hamiltonian approach we also find the exact to all orders $O(d,d)$ transformation of the metric and the dilaton field for general WZW coset models and show the correction with respect to the transformations in one loop order.
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