Results 1  10
of
39
Black Holes in Higher Dimensions
 Living Rev. Rel
"... We review black hole solutions of higherdimensional vacuum gravity, and of higherdimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with detailed reviews of MyersPerry solutions, black rings, and solutiongenerating techniques. We discuss black hole solutions of ma ..."
Abstract

Cited by 33 (0 self)
 Add to MetaCart
(Show Context)
We review black hole solutions of higherdimensional vacuum gravity, and of higherdimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with detailed reviews of MyersPerry solutions, black rings, and solutiongenerating techniques. We discuss black hole solutions of maximal supergravity theories, including black holes in antide Sitter space. General results and open problems are discussed throughout.
How hairy can a black ring be
"... It has been shown recently that there is a large class of supersymmetric solutions of fivedimensional supergravity which generalize the supersymmetric black ring solution of Elvang et al. This class involves arbitrary functions. We show that most of these solutions do not have smooth event horizons ..."
Abstract

Cited by 21 (0 self)
 Add to MetaCart
It has been shown recently that there is a large class of supersymmetric solutions of fivedimensional supergravity which generalize the supersymmetric black ring solution of Elvang et al. This class involves arbitrary functions. We show that most of these solutions do not have smooth event horizons, so they do not provide examples of black In four dimensions, there is considerable evidence to support Wheeler’s idea that black holes have no hair. The traditional statement that stationary black holes in EinsteinMaxwell theory are uniquely characterized by their mass, charges and angular momentum was established by the uniqueness theorem for the KerrNewman black hole. There are also results
Instabilities of Black Strings and Branes
 INVITED REVIEW FOR CLASSICAL AND QUANTUM GRAVITY
, 2007
"... We review recent progress on the instabilities of black strings and branes both for pure Einstein gravity as well as supergravity theories which are relevant for string theory. We focus mainly on GregoryLaflamme instabilities. In the first part of the review we provide a detailed discussion of the ..."
Abstract

Cited by 21 (2 self)
 Add to MetaCart
We review recent progress on the instabilities of black strings and branes both for pure Einstein gravity as well as supergravity theories which are relevant for string theory. We focus mainly on GregoryLaflamme instabilities. In the first part of the review we provide a detailed discussion of the classical gravitational instability of the neutral uniform black string in higher dimensional gravity. The uniform black string is part of a larger phase diagram of KaluzaKlein black holes which will be discussed thoroughly. This phase diagram exhibits many interesting features including new phases, nonuniqueness and horizontopology changing transitions. In the second part, we turn to charged black branes in supergravity and show how the GregoryLaflamme instability of the neutral black string implies via a boost/Uduality map similar instabilities for non and nearextremal smeared branes in string theory. We also comment on instabilities of Dbrane bound states. The connection between classical and thermodynamic stability, known as the correlated stability conjecture, is also reviewed and illustrated with examples. Finally, we examine the holographic implications of the GregoryLaflamme instability for a number of nongravitational theories including YangMills theories and Little String Theory.
On the massive wave equation on slowly rotating KerrAdS spacetimes
, 2009
"... The massive wave equation □gψ − α Λ ψ = 0 is studied on a fixed 3 Kerranti de Sitter background (M, gM,a,Λ). We first prove that in the Schwarzschild case (a = 0), ψ remains uniformly bounded on the black hole exterior provided that α < 9, i.e. the BreitenlohnerFreedman bound 4 holds. Our proof ..."
Abstract

Cited by 17 (6 self)
 Add to MetaCart
(Show Context)
The massive wave equation □gψ − α Λ ψ = 0 is studied on a fixed 3 Kerranti de Sitter background (M, gM,a,Λ). We first prove that in the Schwarzschild case (a = 0), ψ remains uniformly bounded on the black hole exterior provided that α < 9, i.e. the BreitenlohnerFreedman bound 4 holds. Our proof is based on vectorfield multipliers and commutators: The total flux of the usual energy current arising from the timelike Killing vector field T (which fails to be nonnegative pointwise) is shown to be nonnegative with the help of a Hardy inequality after integration over a spacelike slice. In addition to T, we construct a vectorfield whose energy identity captures the redshift producing good estimates close to the horizon. The argument is finally generalized to slowly rotating KerrAdS backgrounds. This is achieved by replacing the Killing vectorfield T = ∂t with K = ∂t + λ∂φ for an appropriate λ ∼ a, which is also Killing and–in contrast to the asymptotically flat case–everywhere causal on the black hole exterior. The separability properties of the wave equation on KerrAdS are not used. As a consequence, the theorem also applies to spacetimes sufficiently close to the KerrAdS spacetime, as long as they admit a causal Killing field K which is null on the horizon.
Bifurcation of Plasma Balls and Black Holes to Lobed Configurations,” arXiv:0902.3560 [hepth
"... At high energy densities any quantum field theory is expected to have an effective hydrodynamic description. When combined with the gravity/gauge duality an unified picture emerges, where gravity itself can have a formal holographic hydrodynamic description. This provides a powerful tool to study bl ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
(Show Context)
At high energy densities any quantum field theory is expected to have an effective hydrodynamic description. When combined with the gravity/gauge duality an unified picture emerges, where gravity itself can have a formal holographic hydrodynamic description. This provides a powerful tool to study black holes in a hydrodynamic setup. We study the stability of plasma balls, holographic duals of ScherckSchwarz (SS) AdS black holes. We find that rotating plasma balls are unstable against mlobed perturbations for rotation rates higher than a critical value. This unstable mode signals a bifurcation to a new branch of nonaxisymmetric stationary solutions which resemble a “peanutlike ” rotating plasma. The gravitational dual of the rotating plasma ball must then be unstable and possibly decay to a nonaxisymmetric longlived SS AdS black hole. This instability provides therefore a mechanism that bounds the rotation of SS black holes. Our results are strictly valid for the SS AdS gravity theory dual to a SS gauge theory. The latter is particularly important because it shares common features with QCD, namely it is nonconformal, nonsupersymmetric and has a confinement/deconfinement phase transition. We focus our analysis in 3dimensional plasmas dual to SS AdS5 black holes, but many of our results should extend to higher dimensions and to other gauge theory/gravity dualities with confined/deconfined phases and admitting a fluid description. Contents 1
Phase Transitions of Charged KerrAdS Black Holes from LargeN Gauge Theories
, 2008
"... We study N = 4 super YangMills theories on a three sphere with two kinds of chemical potentials. One is associated with the Rsymmetry and the other with the rotational symmetry of S 3 (SO(4) symmetry). These correspond to the charged KerrAdS black holes via AdS/CFT. The exact partition functions ..."
Abstract

Cited by 3 (1 self)
 Add to MetaCart
(Show Context)
We study N = 4 super YangMills theories on a three sphere with two kinds of chemical potentials. One is associated with the Rsymmetry and the other with the rotational symmetry of S 3 (SO(4) symmetry). These correspond to the charged KerrAdS black holes via AdS/CFT. The exact partition functions at zero coupling are computed and the thermodynamical properties are studied. We find a nontrivial gap between the confinement/deconfinement transition line and the boundary of the phase diagram when we include more than four chemical potentials. In the dual gravity, we find such a gap in the phase diagram to study the thermodynamics of the charged KerrAdS black hole. This shows that the qualitative phase structures agree between the both sides. We also find that the ratio of the thermodynamical quantities is almost wellknown factor 3/4 even at the low temperature. 1
BTZ Black Hole with Higher Derivatives, the Second Law of Thermodynamics, and Statistical Entropy: A New Proposal
, 2008
"... I consider the thermodynamics of the BTZ black hole in the presence of the higher curvature and gravitational ChernSimons terms, and its statistical entropy. I propose a new thermodynamical entropy, which being nonnegative manifestly, such as the second law of thermodynamics is satisfied. I show t ..."
Abstract

Cited by 3 (1 self)
 Add to MetaCart
I consider the thermodynamics of the BTZ black hole in the presence of the higher curvature and gravitational ChernSimons terms, and its statistical entropy. I propose a new thermodynamical entropy, which being nonnegative manifestly, such as the second law of thermodynamics is satisfied. I show that the new thermodynamical entropy agrees perfectly with the statistical entropy for all the values of the conformal factor of the higher curvature terms and the coupling constant of the gravitational ChernSimons term, in contrast to some disagreements in the literatures. The agreement with both the higher curvature and gravitational ChernSimons terms is possible because of an appropriate balancing of them, though it is not a trivial matter because of a conflict in the appropriate Hilbert space for a welldefined conformal field theory for each term.