General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String

Mirjam Cvetic; Donam Youm

doi:10.1016/0550-3213(96)00355-0

paper

General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String

arXiv:hep-th/9603100 · doi:10.1016/0550-3213(96)00355-0

Abstract

We present the most general rotating black hole solution of five-dimensional N=4 superstring vacua that conforms to the ``no hair theorem''. It is chosen to be parameterized in terms of massless fields of the toroidally compactified heterotic string. The solutions are obtained by performing a subset of O(8,24) transformations, i.e., symmetry transformations of the effective three-dimensional action for stationary solutions, on the five-dimensional (neutral) rotating solution parameterized by the mass m and two rotational parameters $l_{1}$ and $l_{2}$ . The explicit form of the generating solution is determined by three $S O (1, 1) \subset O (8, 24)$ boosts, which specify two electric charges $Q_{1}^{(1)}, Q_{2}^{(2)}$ of the Kaluza-Klein and two-form U(1) gauge fields associated with the same compactified direction, and the charge Q (electric charge of the vector field, whose field strength is dual to the field strength of the five-dimensional two-form field). The general solution, parameterized by 27 charges, two rotational parameters and the ADM mass compatible with the Bogomol'nyi bound, is obtained by imposing $[S O (5) \times S O (21)] / [S O (4) \times S O (20)] \subset O (5, 21)$ transformations, which do not affect the five-dimensional space-time. We also analyze the deviations from the BPS-saturated limit.

14 pages, Uses RevTex, Revised version with minor corrections to appear in Nucl. Phys. B

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Internal Structure of Black Holes

General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String

Abstract

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