Dv. Galtsov et Ps. Letelier, EHLERS-HARRISON TRANSFORMATIONS AND BLACK-HOLES IN DILATON-AXION GRAVITY WITH MULTIPLE VECTOR-FIELDS, Physical review. D. Particles and fields, 55(6), 1997, pp. 3580-3592
Dilaton-axion gravity with p U(1) vector fields is studied on space-ti
mes admitting a timelike Killing vector field. A three-dimensional a m
odel is derived in terms of Kahler geometry, and a holomorphic represe
ntation of the SO(2,2+p) global symmetry is constructed. A general sta
tic black hole solution depending on 2p+5 parameters is obtained via S
O(2,2+p) covariantization of the Schwarzschild solution. The metric in
the curvature coordinates looks like the variable mass Reissner-Nords
trom one and generically possesses two horizons. The inner horizon is
pushed to the singularity if electric and magnetic SO(p) charge vector
s are parallel. For nonparallel charges the inner horizon has a finite
area except for an extremal limit when this property is preserved onl
y for orthogonal charges. Extremal dyon configurations with orthogonal
charges have finite horizon radii continuously varying from zero to t
he Arnowitt-Deser-Misner mass. The new general solution is endowed wit
h a Newman-Unti-Tamburino parameter, asymptotic values of dilaton and
axion, and a gauge parameter which can be used to ascribe any given va
lue to one of the scalar charges.