Exact Attractive Non-BPS STU Black Holes

Abstract

We develop some properties of the non-BPS attractive STU black hole. Our principle result is the construction of exact solutions for the moduli, the metric and the vectors in terms of appropriate harmonic functions. In addition, we find a spherically-symmetric attractor carrying $p^0$ ($D6$ brane) and $q_a$ ($D2$ brane) charges by solving the non-BPS attractor equation (which we present in a particularly compact form) and by minimizing an effective black hole potential. Finally, we make an argument for the existence of multi-center attractors and conjecture that if such solutions exist they may provide a resolution to the existence of apparently unstable non-BPS ``attractors.''

24 pages, no figure, LaTeX; v2: minor changes, typos corrected, references added; v3: one paragraph has been added on page 9

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• Generating Geodesic Flows and Supergravity Solutions
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• Erice Lectures on Black Holes and Attractors
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• Non-BPS Attractors in 5d and 6d Extended Supergravity
• BPS black holes in N=2 D=4 gauged supergravities
• Attractors with Vanishing Central Charge
• Degeneration of Groups of Type E7 and Minimal Coupling in Supergravity
• Attractors in Black
• On Attractor Mechanism and Entropy Function for Non-extremal Black Holes/Branes
• A three-qubit interpretation of BPS and non-BPS STU black holes
• One entropy function to rule them all
• First-order flows and stabilisation equations for non-BPS extremal black holes
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• Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
• Two-Center Black Holes Duality-Invariants for stu Model and its lower-rank Descendants
• Attractor Horizon Geometries of Extremal Black Holes
• On The Stability of Non-Supersymmetric Attractors in String Theory
• Ungauging black holes and hidden supercharges
• Non-supersymmetric extremal multicenter black holes with superpotentials
• Entropy Function for Non-Extremal Black Holes in String Theory
• Entropy function for rotating extremal black holes in very special geometry
• Non-supersymmetric Attractors in Born-Infeld Black Holes with a Cosmological Constant
• Entropy of Pairs of Dual Attractors in 6D/7D
• Intersecting Attractors
• Matrix Norms, BPS Bounds and Marginal Stability in N=8 Supergravity
• A Note on Exact Solutions and Attractor Mechanism for Non-BPS Black Holes
• Two-Center Black Holes, Qubits and Elliptic Curves
• The attractor mechanism as a distillation procedure
• Cargese lectures on string theory with eight supercharges
• STU attractors from vanishing concurrence
• AdS Vacua, Attractor Mechanism and Generalized Geometries
• Non-Supersymmetric Attractors in Symmetric Coset Spaces
• Non-supersymmetric Extremal RN-AdS Black Holes in N=2 Gauged Supergravity
• SAM Lectures on Extremal Black Holes in d=4 Extended Supergravity
• Lessons from the Vacuum Structure of 4d N=2 Supergravity
• First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity
• New Perspectives on Attractor Flows and Trees from CFT
• Schwarzschild-AdS Black Holes in N=2 Geometric Flux Compactification
• Entropy Function for Non-extremal D1D5 and D2D6NS5-branes
• Attractor Flows in st^2 Black Holes
• On the Stability of Non-Supersymmetric Quantum Attractors in String Theory
• Black Holes in Supergravity: the non-BPS Branch
• Qubits and STU Black Holes with Eight Electric and Magnetic Charges