EXTREMAL MYERS–PERRY BLACK HOLES COUPLED TO BORN–INFELD ELECTRODYNAMICS IN ODD DIMENSIONS

Employing higher-order perturbation theory, we find a new class of perturbative extremal rotating black hole solutions with Born–Infeld electric charge in odd D dimensional spacetime. The seed solution is an odd-dimensional extremal Myers–Perry black hole with equal angular momenta to which a perturbative, nonlinear, electric Born–Infeld field charge q is added maintaining the extremality condition. The perturbations are performed up to third-order. We also study some physical properties of these black holes. In particular, it is shown that the values of the gyromagnetic ratio of the black holes are modified by the perturbative parameter q and the Born–Infeld parameter β.

IWP SOLUTIONS FOR HETEROTIC STRING IN FIVE DIMENSIONS

We obtain extremal stationary solutions that generalize the Israel–Wilson–Perjés class for the low-energy limit of heterotic string theory with n≥ 3U(1) gauge fields toroidally compactified from five to three dimensions. A dyonic solution is obtained using the matrix Ernst potential (MEP) formulation and expressed in terms of a single real (3×3)-matrix harmonic function. By studying the asymptotic behavior of the field configurations, we define the physical charges of the field system. The extremality condition makes the charges saturate the Bogomol'nyi–Prasad–Sommmerfield (BPS) bound.