Some Aspects of Spherical Symmetric Extremal Dyonic Black Holes in 4d N=1 Supergravity

Details Some Aspects of Spherical Symmetric Extremal Dyonic Black Holes in 4d N=1 Supergravity Some Aspects of Spherical Symmetric Extremal Dyonic Black Holes in 4d N=1 Supergravity

2010-12-05

arxiv.org/abs/1012.0971v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figure. Some parts of the paper have been presented by B.E.G as invited speaker at Asian Physics Symposium 2010,

Scientific paper

In this paper we study several aspects of extremal spherical symmetric black hole solutions of for four dimensional N=1 supergravity coupled to vector and chiral multiplets with the scalar potential turned on. In the asymptotic region the complex scalars are fixed and regular which can be viewed as the critical points of the black hole and the scalar potential with vanishing scalar charges. It follows that the asymptotic geometries are of a constant and non-zero scalar curvature which further deform to the symmetric spaces, namely anti-de Sitter and de Sitter spaces. These spaces correspond to the near horizon geometries which are the product spaces of a two surface and the two sphere. We finally give some simple ${\lC}^{n}$-models with both linear superpotential and gauge couplings.

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