Non-supersymmetric Extremal Black Holes: First-Order Flows and Stabilisation Equations

2013 ◽  
pp. 221-231
Author(s):  
Pietro Galli ◽  
Kevin Goldstein ◽  
Stefanos Katmadas ◽  
Jan Perz
Keyword(s):  
Black Holes ◽  
First Order ◽  
Extremal Black Holes

scholarly journals ATTRACTOR FLOWS IN st2 BLACK HOLES

2011 ◽  
Vol 08 (05) ◽  
pp. 1031-1077
Author(s):  
RAJU ROYCHOWDHURY
Keyword(s):  
Black Holes ◽  
Central Charge ◽  
Space Time ◽  
Marginal Stability ◽  
Minimal Rank ◽  
General Solutions ◽  
Flow Equations ◽  
First Order ◽  
Extremal Black Holes

Following the same treatment of Bellucci et al. we obtain, the hitherto unknown general solutions of the radial attractor flow equations for extremal black holes, both for non-BPS with non-vanishing and vanishing central charge Z for the so-called st2 model, the minimal rank-two [Formula: see text] symmetric supergravity in d = 4 space-time dimensions. We also make useful comparisons with results that already exist in literature, and introduce the fake supergravity (first-order) formalism to be used in our analysis. An analysis of the BPS bound all along the non-BPS attractor flows and of the marginal stability of corresponding D-brane charge configurations has also been presented.

scholarly journals First-order flows and stabilisation equations for non-BPS extremal black holes

2011 ◽  
Vol 2011 (6) ◽  
Author(s):  
Pietro Galli ◽  
Kevin Goldstein ◽  
Stefanos Katmadas ◽  
Jan Perz
Keyword(s):  
Black Holes ◽  
First Order ◽  
Extremal Black Holes

scholarly journals First order flows for N=2 extremal black holes and duality invariants

2010 ◽  
Vol 824 (1-2) ◽  
pp. 239-253 ◽  
Author(s):  
Anna Ceresole ◽  
Gianguido Dall'Agata ◽  
Sergio Ferrara ◽  
Armen Yeranyan
Keyword(s):  
Black Holes ◽  
First Order ◽  
Extremal Black Holes

scholarly journals First-order flow equations for extremal and non-extremal black holes

2009 ◽  
Vol 2009 (03) ◽  
pp. 150-150 ◽  
Author(s):  
Jan Perz ◽  
Paul Smyth ◽  
Thomas Van Riet ◽  
Bert Vercnocke
Keyword(s):  
Black Holes ◽  
Order Flow ◽  
Flow Equations ◽  
First Order ◽  
Extremal Black Holes

scholarly journals First-order flow equations for extremal black holes in very special geometry

2007 ◽  
Vol 2007 (10) ◽  
pp. 063-063 ◽  
Author(s):  
Gabriel L Cardoso ◽  
Anna Ceresole ◽  
Gianguido Dall'Agata ◽  
Johannes M Oberreuter ◽  
Jan Perz
Keyword(s):  
Black Holes ◽  
Order Flow ◽  
Flow Equations ◽  
First Order ◽  
Special Geometry ◽  
Extremal Black Holes

scholarly journals New non-extremal and BPS hairy black holes in gauged $$ \mathcal{N} $$ = 2 and $$ \mathcal{N} $$ = 8 supergravity

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Andres Anabalon ◽  
Dumitru Astefanesei ◽  
Antonio Gallerati ◽  
Mario Trigiante
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Boundary Conditions ◽  
Charged Black Hole ◽  
Dual Theory ◽  
Real Numbers ◽  
Hairy Black Holes ◽  
Interpolation Parameter ◽  
Black Hole Solutions ◽  
Extremal Black Holes

Abstract In this article we study a family of four-dimensional, $$ \mathcal{N} $$ N = 2 supergravity theories that interpolates between all the single dilaton truncations of the SO(8) gauged $$ \mathcal{N} $$ N = 8 supergravity. In this infinitely many theories characterized by two real numbers — the interpolation parameter and the dyonic “angle” of the gauging — we construct non-extremal electrically or magnetically charged black hole solutions and their supersymmetric limits. All the supersymmetric black holes have non-singular horizons with spherical, hyperbolic or planar topology. Some of these supersymmetric and non-extremal black holes are new examples in the $$ \mathcal{N} $$ N = 8 theory that do not belong to the STU model. We compute the asymptotic charges, thermodynamics and boundary conditions of these black holes and show that all of them, except one, introduce a triple trace deformation in the dual theory.

scholarly journals Slow scrambling in extremal BTZ and microstate geometries

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ben Craps ◽  
Marine De Clerck ◽  
Philip Hacker ◽  
Kévin Nguyen ◽  
Charles Rabideau
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Degrees Of Freedom ◽  
Average Power ◽  
Nonzero Temperature ◽  
Time Intervals ◽  
Conformal Field ◽  
Btz Black Holes ◽  
The Right ◽  
Extremal Black Holes

Abstract Out-of-time-order correlators (OTOCs) that capture maximally chaotic properties of a black hole are determined by scattering processes near the horizon. This prompts the question to what extent OTOCs display chaotic behaviour in horizonless microstate geometries. This question is complicated by the fact that Lyapunov growth of OTOCs requires nonzero temperature, whereas constructions of microstate geometries have been mostly restricted to extremal black holes.In this paper, we compute OTOCs for a class of extremal black holes, namely maximally rotating BTZ black holes, and show that on average they display “slow scrambling”, characterized by cubic (rather than exponential) growth. Superposed on this average power-law growth is a sawtooth pattern, whose steep parts correspond to brief periods of Lyapunov growth associated to the nonzero temperature of the right-moving degrees of freedom in a dual conformal field theory.Next we study the extent to which these OTOCs are modified in certain “superstrata”, horizonless microstate geometries corresponding to these black holes. Rather than an infinite throat ending on a horizon, these geometries have a very deep but finite throat ending in a cap. We find that the superstrata display the same slow scrambling as maximally rotating BTZ black holes, except that for large enough time intervals the growth of the OTOC is cut off by effects related to the cap region, some of which we evaluate explicitly.

scholarly journals Uptunneling to de Sitter

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Mehrdad Mirbabayi
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
False Vacuum ◽  
De Sitter ◽  
Dimensional Theory ◽  
Hole Geometry ◽  
Horizon Geometry ◽  
Two Sides ◽  
Extremal Black Holes

Abstract We propose a Euclidean preparation of an asymptotically AdS2 spacetime that contains an inflating dS2 bubble. The setup can be embedded in a four dimensional theory with a Minkowski vacuum and a false vacuum. AdS2 approximates the near horizon geometry of a two-sided near-extremal Reissner-Nordström black hole, and the two sides can connect to the same Minkowski asymptotics to form a topologically nontrivial worm- hole geometry. Likewise, in the false vacuum the near-horizon geometry of near-extremal black holes is approximately dS2 times 2-sphere. We interpret the Euclidean solution as describing the decay of an excitation inside the wormhole to a false vacuum bubble. The result is an inflating region inside a non-traversable asymptotically Minkowski wormhole.

scholarly journals Second-order perturbations of Kerr black holes: Formalism and reconstruction of the first-order metric

2021 ◽  
Vol 103 (10) ◽  
Author(s):  
Nicholas Loutrel ◽  
Justin L. Ripley ◽  
Elena Giorgi ◽  
Frans Pretorius
Keyword(s):  
Black Holes ◽  
Second Order ◽  
First Order ◽  
Kerr Black Holes

scholarly journals Logarithmic correction to the entropy of extremal black holes in $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Gourav Banerjee ◽  
Sudip Karan ◽  
Binata Panda
Keyword(s):  
Black Holes ◽  
Heat Kernel ◽  
Proper Time ◽  
Logarithmic Correction ◽  
Functional Determinant ◽  
Supergravity Theory ◽  
Heat Kernel Expansion ◽  
Determinant Of Laplacian ◽  
Extremal Black Holes ◽  
Classical Background

Abstract We study one-loop covariant effective action of “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory.

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