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Higher-Derivative Corrections to the Asymptotic Virasoro
- Symmetry of 4d Extremal Black Holes,” Prog. Theor. Phys. 122 (2009) 355–384
"... We study the asymptotic Virasoro symmetry which acts on the near-horizon region of extremal four-dimensional black hole solutions of gravity theories with higher-derivative cor-rections, following the recently proposed Kerr/CFT correspondence. We demonstrate that its central charge correctly reprodu ..."
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Cited by 23 (2 self)
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We study the asymptotic Virasoro symmetry which acts on the near-horizon region of extremal four-dimensional black hole solutions of gravity theories with higher-derivative cor-rections, following the recently proposed Kerr/CFT correspondence. We demonstrate that its central charge correctly reproduces the entropy formula of Iyer-Wald, once the boundary terms in the symplectic structure are carefully chosen.
Ricci solitons, Ricci flow, and strongly coupled CFT in the Schwarzschild . . .
"... The elliptic Einstein-DeTurck equation may be used to numerically find Einstein metrics on Riemannian manifolds. Static Lorentzian Einstein metrics are considered by analytically continuing to Euclidean time. Ricci-DeTurck flow is a constructive algorithm to solve this equation, and is simple to imp ..."
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Cited by 22 (5 self)
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The elliptic Einstein-DeTurck equation may be used to numerically find Einstein metrics on Riemannian manifolds. Static Lorentzian Einstein metrics are considered by analytically continuing to Euclidean time. Ricci-DeTurck flow is a constructive algorithm to solve this equation, and is simple to implement when the solution is a stable fixed point, the only complication being that Ricci solitons may exist which are not Einstein. Here we extend previous work to consider the Einstein-DeTurck equation for Riemannian manifolds with boundaries, and those that continue to static Lorentzian spacetimes which are asymptotically flat, Kaluza-Klein, locally AdS or have extremal horizons. Using a maxi-mum principle we prove that Ricci solitons do not exist in these cases and so any solution is Einstein. We also argue that Ricci-DeTurck flow preserves these classes of manifolds. As an example we simulate Ricci-DeTurck flow for a manifold with asymptotics relevant for AdS5/CFT4. Our maximum principle dictates there are no soliton solutions, and we give strong numerical evidence that there exists a stable fixed point of the flow which continues to a smooth static Lorentzian Einstein metric. Our asymptotics are such that this describes the classical gravity dual relevant for the CFT on a Schwarzschild background in either the Unruh or Boulware vacua. It determines the leading O(N2c) part of the CFT stress tensor, which interestingly is regular on both the future and past Schwarzschild horizons.
Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
, 1947
"... ar ..."
On the global structure of the Pomeransky–Senkov black holes
- Adv. Theor. Math. Phys
, 2011
"... black holes ..."
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Near the horizon of 5D black rings
, 810
"... Abstract: For the five dimensional N = 2 black rings, we study the supersymmetry enhancement and identify the global supergroup of the near horizon geometry. We show that the global part of the supergroup is OSp(4 ∗ |2) × SL(2) which is the same as the small black string. We show that results obtai ..."
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Cited by 7 (2 self)
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Abstract: For the five dimensional N = 2 black rings, we study the supersymmetry enhancement and identify the global supergroup of the near horizon geometry. We show that the global part of the supergroup is OSp(4 ∗ |2) × SL(2) which is the same as the small black string. We show that results obtained by applying the entropy function formalism and the c-extremization approach to the black ring solution are in agreement with the microscopic entropy calculation. Also, we extend our calculation to the small black ring solution and compute the modification of the corresponding parameters.
MIFP-09-02 Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities
, 901
"... A recently proposed holographic duality allows the Bekenstein-Hawking entropy of extremal rotating black holes to be calculated microscopically, by applying the Cardy formula to the two-dimensional chiral CFTs associated with certain reparameterisations of azimuthal angular coordinates in the soluti ..."
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Cited by 7 (0 self)
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A recently proposed holographic duality allows the Bekenstein-Hawking entropy of extremal rotating black holes to be calculated microscopically, by applying the Cardy formula to the two-dimensional chiral CFTs associated with certain reparameterisations of azimuthal angular coordinates in the solutions. The central charges are proportional to the angular momenta of the black hole, and so the method degenerates in the case of static (non-rotating) black holes. We show that the method can be extended to encompass such charged static extremal AdS black holes by using consistent Kaluza-Klein sphere reduction ansätze to lift them to exact solutions in the low-energy limits of string theory or M-theory, where the electric charges become reinterpreted as angular momenta associated with internal rotations in the reduction sphere. We illustrate the procedure for the examples of The first computation of black hole entropy by counting microstates was performed for the case of five-dimensional extremal black holes [1]. This was subsequently extended to a variety of other examples, including black holes in four dimensions [2]. In this approach,
