Curvature-corrected dilatonic black holes and black hole - string transition
D. V. Gal'tsov, E. A. Davydov1)
Department of Theoretical Physics, Moscow State University, 119899 Moscow, Russia
PACS: 04.20.Jb
Abstract
We investigate extremal charged black hole solutions in the
four-dimensional string frame Gauss-Bonnet gravity with the Maxwell
field and the dilaton. Without curvature corrections, the extremal
electrically charged dilatonic black holes have singular horizon and
zero Bekenstein entropy. When the Gauss-Bonnet term is switched on,
the horizon radius expands to a finite value provided curvature
corrections are strong enough. Below a certain threshold value of
the Gauss-Bonnet coupling the extremal black hole solutions cease to
exist. Since decreasing Gauss-Bonnet coupling corresponds to
decreasing string coupling gs, the situation can tentatively be
interpreted as classical indication on the black hole - string
transition. Previously the extremal dilaton black holes were studied
in the Einstein-frame version of the Gauss-Bonnet gravity. Here we
work in the string frame version of the theory with the S-duality
symmetric dilaton function as required by the heterotic string
theory.