The Attractor Mechanism in Gauss-Bonnet Gravity

Abstract

We study extremal black hole solutions of D=5 Gauss-Bonnet gravity coupled to a system of gauge and scalar fields. As in Einstein gravity, we find that the values of the scalar fields on the horizon must extremize a certain effective potential that depends on the black hole charges. If the matrix of second derivatives of the effective potential at this extremum has positive eigenvalues, we give evidence, based on a near horizon perturbative expansion, that the attractor mechanism continues to hold in this general class of theories. We numerically construct solutions to a particular simple single scalar field model that display the attractor mechanism over a wide range of asymptotic values for the scalar field. We also numerically construct non-extremal solutions and show that the attractor mechanism fails to hold away from extremality.

15 pages, 3 figures; v2 - references added; v3 - minor revisions, references added

References in corpus (17)

• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• N=2 Extremal Black Holes
• Supersymmetry and Attractors
• On Black Hole Entropy
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Non-Supersymmetric Attractors
• Microscopic Entropy of N=2 Extremal Black Holes
• Thermodynamic and gravitational instability on hyperbolic spaces
• Black hole entropy in string-generated gravity models
• Orbits and Attractors for N=2 Maxwell-Einstein Supergravity Theories in Five Dimensions
• Non-Supersymmetric Attractors and Entropy Function
• A C-Function For Non-Supersymmetric Attractors
• Non-Supersymmetric Attractors in $R^2$ Gravities
• Lovelock type gravity and small black holes in heterotic string theory
• On The Stability of Non-Supersymmetric Attractors in String Theory

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• Extremal Black Hole and Flux Vacua Attractors
• Non-BPS Attractors in 5d and 6d Extended Supergravity
• Attractors in Black
• Gauss-Bonnet black holes with non-constant curvature horizons
• Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
• C-Functions in Lovelock Gravity
• A Note on Exact Solutions and Attractor Mechanism for Non-BPS Black Holes
• alpha'-corrections and heterotic black holes
• SAM Lectures on Extremal Black Holes in d=4 Extended Supergravity
• Attractive holographic $c$-functions
• First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity
• Attractor Flows in st^2 Black Holes
• Gaugings and other aspects in supergravity