Non-supersymmetric attractor flow in symmetric spaces
Davide Gaiotto,Wei Li,Megha Padi +2 more
TLDR
In this paper, extremal black hole solutions for a variety of four dimensional models which admit a description in terms of 3D gravity coupled to a sigma model with symmetric target space were derived.Abstract:
We derive extremal black hole solutions for a variety of four dimensional models which, after Kaluza-Klein reduction, admit a description in terms of 3D gravity coupled to a sigma model with symmetric target space. The solutions are in correspondence with certain nilpotent generators of the isometry group. In particular, we provide the exact solution for a non-BPS black hole with generic charges and asymptotic moduli in = 2 supergravity coupled to one vector multiplet. Multi-centered solutions can also be generated with this technique. It is shown that the non-supersymmetric solutions lack the intricate moduli space of bound configurations that are typical of the supersymmetric case.read more
Citations
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Almost BPS black holes
TL;DR: In this article, the authors studied non-BPS black hole solutions to ungauged supergravity with 8 supercharges coupled to vector multiplets in four and five dimensions, respectively.
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Generating geodesic flows and supergravity solutions
TL;DR: In this paper, the authors consider the problem of constructing a geodesic with the minimal number of free parameters such that all other geodesics are generated through isometrics, and give an intrinsic characterization of this solution in a wide class of orbits for various supergravities in different dimensions.
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Extremal black holes, nilpotent orbits and the true fake superpotential
TL;DR: In this paper, the authors show that the Noether charge for the radial evolution must lie in a certain Lagrangian submanifold of a nilpotent orbit of the 3D continuous duality group.
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Black holes in supergravity: the non-BPS branch
TL;DR: In this article, extremal, spherically symmetric black hole solutions to 4D supergravity with charge assignments that preclude BPS-saturation were constructed and the ground state energy as a function of charges and moduli was determined.
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stu Black Holes Unveiled
TL;DR: In this article, the general solutions of the radial attractor flow equations for extremal black holes, both for non-BPS with non-vanishing central charge Z and for Z = 0, are obtained for the so-called stu model, the minimal rank-3 N = 2 symmetric supergravity in d = 4 space-time dimensions.
References
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N=2 extremal black holes.
TL;DR: It is shown that extremal magnetic black hole solutions of N=2 supergravity coupled to vector multiplets with a generic holomorphic prepotential F can be described as supersymmetric solitons which interpolate between maximally symmetric limiting solutions at spatial infinity and the horizon.
Book
Nilpotent Orbits In Semisimple Lie Algebra: An Introduction
TL;DR: In this paper, the authors collected together the important results concerning the classification and properties of nilpotent orbits, beginning from the common ground of basic structure theory and concluded with a survey of advanced topics related to the above circle of ideas.
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Black holes and critical points in moduli space
TL;DR: In this article, the authors studied the stabilization of scalars near a supersymmetric black hole horizon using the equation of motion of a particle moving in a potential and background metric, and they showed that extremal value of the central charge provides the minimal value of BPS mass and of the potential under the condition that the moduli space metric is positive at the critical point.
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Black hole entropy function and the attractor mechanism in higher derivative gravity
Ashoke Sen,Ashoke Sen +1 more
TL;DR: The entropy of the black hole is given by the value of the entropy function at this extremum, and the values of the scalar fields at the horizon as well as the sizes of AdS2 and SD?2 are determined by extremizing this entropy function with respect to the corresponding parameters.
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$4$-dimensional black holes from Kaluza-Klein theories
TL;DR: In this paper, the authors consider generalizations in 4 dimensions of the Einstein-Maxwell equations which typically arise from Kaluza-Klein theories and specify conditions such that stationary solutions lead to non-linearσ-models for symmetric spaces.