Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-02-23
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, LaTeX source. Discussion on the radial evolution of the scalar fields, in relation to the symmetries of the W-functi
Scientific paper
We consider the fist order, gradient-flow, description of the scalar fields coupled to spherically symmetric, asymptotically flat black holes in extended supergravities. Using the identification of the fake superpotential with Hamilton's characteristic function we clarify some of its general properties, showing in particular (besides reviewing the issue of its duality invariance) that W has the properties of a Liapunov's function, which implies that its extrema (associated with the horizon of extremal black holes) are asymptotically stable equilibrium points of the corresponding first order dynamical system (in the sense of Liapunov). Moreover, we show that the fake superpotential W has, along the entire radial flow, the same flat directions which exist at the attractor point. This allows to study properties of the ADM mass also for small black holes where in fact W has no critical points at finite distance in moduli space. In particular the W function for small non-BPS black holes can always be computed analytically, unlike for the large black-hole case.
Andrianopoli Laura
D'Auria Riccardo
Ferrara Sergio
Trigiante Mario
No associations
LandOfFree
Fake Superpotential for Large and Small Extremal Black Holes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fake Superpotential for Large and Small Extremal Black Holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fake Superpotential for Large and Small Extremal Black Holes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-170501