Existence of Static Dyonic Black Holes in $4d$ $N=1$ Supergravity With Finite Energy

Abstract

We prove the existence and the uniqueness of the static dyonic black holes in four dimensional $N=1$ supergravity theory coupled vector and scalar multiplets. We set the near-horizon geometry to be a product of two Einstein surfaces, whereas the asymptotic geometry has to be a space of constant scalar curvature. Using these data, we show that there exist a unique solution for scalar fields which interpolates these regions.

arXiv comment10 pages, no figure. Typos corrected and some references added

References in corpus (11)

• N=2 Extremal Black Holes
• Supersymmetry and Attractors
• Black Holes and Critical Points in Moduli Space
• Near-horizon symmetries of extremal black holes
• Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
• On Fermion Masses, Gradient Flows and Potential in Supersymmetric Theories
• Supersymmetry reduction of N-extended supergravities in four dimensions
• d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
• Black-Hole Attractors in N=1 Supergravity
• Some Aspects of Spherical Symmetric Extremal Dyonic Black Holes in 4d N=1 Supergravity
• Bosonic Part of 4d N=1 Supersymmetric Gauge Theory with General Couplings: Local Existence

Cited by in corpus (3)

• Bianchi IX geometry and the Einstein-Maxwell theory
• Static Black Holes in Higher Dimensional Einstein-Skyrme Models
• Higher-Dimensional Minimal Theory of Mass-Varying Massive Gravity And Its Cosmological Consequences