Presents the first analytic singly rotating near-horizon solution in 5D Einstein-Gauss-Bonnet gravity with finite curvature invariants for limited rotation.
Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We study extremal black hole solutions in D dimensions with near horizon geometry AdS_2\times S^{D-2} in higher derivative gravity coupled to other scalar, vector and anti-symmetric tensor fields. We define an entropy function by integrating the Lagrangian density over S^{D-2} for a general AdS_2\times S^{D-2} background, taking the Legendre transform of the resulting function with respect to the parameters labelling the electric fields, and multiplying the result by a factor of 2\pi. We show that the values of the scalar fields at the horizon as well as the sizes of AdS_2 and S^{D-2} are determined by extremizing this entropy function with respect to the corresponding parameters, and the entropy of the black hole is given by the value of the entropy function at this extremum. Our analysis relies on the analysis of the equations of motion and does not directly make use of supersymmetry or specific structure of the higher derivative terms.
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In pure N=4 Poincaré supergravity, all extremal spherically symmetric attractors (constant or non-constant moduli) preserve 1/4 supersymmetry for generic charges with I4>0; non-BPS attractors cannot occur.
Derives analytic α' corrections to the three-charge BMPV black hole geometry and computes its corrected entropy via generalized Wald formula, matching supersymmetric index results.
Perturbative string theory forbids de Sitter times closed manifold solutions under the assumption that the Euclidean sphere partition function receives a nonzero 1/G_N contribution.
citing papers explorer
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An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity
Presents the first analytic singly rotating near-horizon solution in 5D Einstein-Gauss-Bonnet gravity with finite curvature invariants for limited rotation.
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Supersymmetry and Attractors in N = 4 Supergravity: The Superconformal Approach
In pure N=4 Poincaré supergravity, all extremal spherically symmetric attractors (constant or non-constant moduli) preserve 1/4 supersymmetry for generic charges with I4>0; non-BPS attractors cannot occur.
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BMPV black hole at first order in $\alpha'$
Derives analytic α' corrections to the three-charge BMPV black hole geometry and computes its corrected entropy via generalized Wald formula, matching supersymmetric index results.
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de Sitter in String Theory vs. Gibbons & Hawking
Perturbative string theory forbids de Sitter times closed manifold solutions under the assumption that the Euclidean sphere partition function receives a nonzero 1/G_N contribution.