scholarly journals Entropy function and the attractor mechanism for spherically symmetric extremal black holes

2007 ◽  
Vol 76 (6) ◽  
Author(s):  
Rong-Gen Cai ◽  
Li-Ming Cao
Keyword(s):  
Black Holes ◽  
Entropy Function ◽  
Spherically Symmetric ◽  
Extremal Black Holes

scholarly journals New attractor mechanism for spherically symmetric extremal black holes

2007 ◽  
Vol 76 (10) ◽  
Author(s):  
Yun Soo Myung ◽  
Yong-Wan Kim ◽  
Young-Jai Park
Keyword(s):  
Black Holes ◽  
Spherically Symmetric ◽  
Extremal Black Holes

scholarly journals Extremal charged Vaidya and its near horizon geometry

2017 ◽  
Vol 26 (04) ◽  
pp. 1750036
Author(s):  
S. Sadeghian ◽  
A. Shafiekhani
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Solution ◽  
Spherically Symmetric ◽  
Nonstationary Solution ◽  
Vaidya Black Hole ◽  
Extremal Limit ◽  
Horizon Geometry ◽  
Extremal Black Holes

Recently [Formula: see text]-dimensional spherically symmetric charged Vaidya black hole solution has been constructed. We observe that this nonstationary solution admits extremal limit and study its near horizon geometry. We show that the symmetry of the near horizon geometry is [Formula: see text]. Our analysis shows that the theorems for the near horizon geometry of stationary extremal black holes, may be extended to nonstationary cases.

scholarly journals Entropy function for rotating extremal black holes in very special geometry

2007 ◽  
Vol 2007 (05) ◽  
pp. 025-025 ◽  
Author(s):  
Gabriel L Cardoso ◽  
Johannes M Oberreuter ◽  
Jan Perz
Keyword(s):  
Black Holes ◽  
Entropy Function ◽  
Special Geometry ◽  
Extremal Black Holes

scholarly journals Entropy function and universal entropy of two-dimensional extremal black holes

2007 ◽  
Vol 2007 (04) ◽  
pp. 057-057 ◽  
Author(s):  
Seungjoon Hyun ◽  
Wontae Kim ◽  
John J Oh ◽  
Edwin J Son
Keyword(s):  
Black Holes ◽  
Entropy Function ◽  
Two Dimensional ◽  
Extremal Black Holes

BLACK HOLES AND WORMHOLES IN RS2 TYPE BRANE WORLDS

2005 ◽  
Vol 20 (11) ◽  
pp. 2256-2264 ◽  
Author(s):  
K. A. BRONNIKOV ◽  
A. V. MICHTCHENKO
Keyword(s):  
Black Holes ◽  
Strong Field ◽  
Scalar Fields ◽  
Spherically Symmetric ◽  
Field Region ◽  
Field Equations ◽  
Black String ◽  
Brane Worlds ◽  
Gravity Equations ◽  
Extremal Black Holes

We review some recent results concerning the properties of static, spherically symmetric configurations in RS2 type brane worlds: 1) Solving the trace of the effective 4D gravity equations, we obtain general classes of black hole and wormhole metrics, including families which unify symmetric wormholes, extremal black holes and non-extremal non-singular black holes. 2) Assuming [Formula: see text] (where [Formula: see text] is a part of the 5D Weyl tensor contributing to the 4D gravity equations), we show that material scalar fields confined on the brane may violate the no-hair theorem, support wormholes or form particlelike objects, but only at super-nuclear matter densities in the strong field region. 3) Solutions to the bulk field equations are found in case [Formula: see text], among them solutions with a nonzero 4D cosmological constant, generalizing the so-called "black string".

scholarly journals Special Vinberg cones and the entropy of BPS extremal black holes

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Dmitri V. Alekseevsky ◽  
Alessio Marrani ◽  
Andrea Spiro
Keyword(s):  
Black Holes ◽  
Symmetric Space ◽  
Explicit Expression ◽  
Spherically Symmetric ◽  
Quadratic Map ◽  
Asymptotically Flat ◽  
Homogeneous Cones ◽  
Extremal Black Holes

Abstract We consider the static, spherically symmetric and asymptotically flat BPS extremal black holes in ungauged N = 2 D = 4 supergravity theories, in which the scalar manifold of the vector multiplets is homogeneous. By a result of Shmakova on the BPS attractor equations, the entropy of this kind of black holes can be expressed only in terms of their electric and magnetic charges, provided that the inverse of a certain quadratic map (uniquely determined by the prepotential of the theory) is given. This inverse was previously known just for the cases in which the scalar manifold of the theory is a homogeneous symmetric space. In this paper we use Vinberg’s theory of homogeneous cones to determine an explicit expression for such an inverse, under the assumption that the scalar manifold is homogeneous, but not necessarily symmetric. As immediate consequence, we get a formula for the entropy of BPS black holes that holds in any model of N = 2 supergravity with homogeneous scalar manifold.

scholarly journals Near-AdS2 Spectroscopy: Classifying the Spectrum of Operators and Interactions in N=2 4D Supergravity

Universe ◽  
2021 ◽  
Vol 7 (12) ◽  
pp. 475
Author(s):  
Alejandra Castro ◽  
Evita Verheijden
Keyword(s):  
Black Holes ◽  
Spherically Symmetric ◽  
Quantum Nature ◽  
Matter Fields ◽  
Striking Effect ◽  
Extremal Black Holes

We describe holographic properties of near-AdS2 spacetimes that arise within spherically symmetric configurations of N=2 4D U(1)4 supergravity for both gauged and ungauged theories. These theories pose a rich space of AdS2×S2 backgrounds, and their responses in the near-AdS2 region are not universal. In particular, we show that the spectrum of operators is dual to the matter fields, and their cubic interactions are sensitive to properties of the background and the theory it is embedded in. The properties that have the most striking effect are whether the background is supersymmetric or not and if the theory is gauged or ungauged. Interesting effects are due to the appearance of operators with Δ<2, which depending on the background, can lead to, for instance, instabilities or extremal correlators. The resulting differences will have an imprint on the quantum nature of the microstates of near-extremal black holes, reflecting that not all extremal black holes respond equally when kicked away from extremality.

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