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21
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 ..."
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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.
The Phase Structure of HigherDimensional Black Rings and Black Holes
, 2007
"... We construct an approximate solution for an asymptotically flat, neutral, thin rotating black ring in any dimension D ≥ 5 by matching the nearhorizon solution for a bent boosted black string, to a linearized gravity solution away from the horizon. The rotating black ring solution has a regular hori ..."
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Cited by 8 (4 self)
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We construct an approximate solution for an asymptotically flat, neutral, thin rotating black ring in any dimension D ≥ 5 by matching the nearhorizon solution for a bent boosted black string, to a linearized gravity solution away from the horizon. The rotating black ring solution has a regular horizon of topology S1 × SD−3 and incorporates the balancing condition of the ring as a zerotension condition. For D = 5 our method reproduces the thin ring limit of the exact black ring solution. For D ≥ 6 we show that the black ring has a higher entropy than the MyersPerry black hole in the ultraspinning regime. By exploiting the correspondence between ultraspinning black holes and black membranes on a twotorus, we take steps towards qualitatively completing the phase diagram of rotating blackfolds with a single angular momentum. We are led to propose a connection between MP black holes and black rings, and between MP black holes and black Saturns, through merger transitions involving two kinds of ‘pinched ’ black holes. More generally, the analogy suggests an infinite number of pinched black holes of spherical topology leading to a complicated pattern of connections and mergers between phases.
Black Holes in HigherDimensional Gravity
, 2008
"... These lectures review some of the recent progress in uncovering the phase structure of black hole solutions in higherdimensional vacuum Einstein gravity. The two classes on which we focus are KaluzaKlein black holes, i.e. static solutions with an event horizon in asymptotically flat spaces with co ..."
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These lectures review some of the recent progress in uncovering the phase structure of black hole solutions in higherdimensional vacuum Einstein gravity. The two classes on which we focus are KaluzaKlein black holes, i.e. static solutions with an event horizon in asymptotically flat spaces with compact directions, and stationary solutions with an event horizon in asymptotically flat space. Highlights include the recently constructed multiblack hole configurations on the cylinder and thin rotating black rings in dimensions higher than five. The phase diagram that is emerging for each of the two classes will be discussed, including an intriguing connection that relates the phase structure of KaluzaKlein black holes with that of asymptotically flat rotating black holes.
Classical Effective Field Theory and Caged black holes
 PREPRINT TYPESET IN JHEP
, 2008
"... Matched asymptotic expansion is a useful technique in General Relativity and other fields whenever interaction takes place between physics at two different length scales. Here matched asymptotic expansion is argued to be equivalent quite generally to Classical Effective Field Theory (ClEFT) where o ..."
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Cited by 4 (1 self)
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Matched asymptotic expansion is a useful technique in General Relativity and other fields whenever interaction takes place between physics at two different length scales. Here matched asymptotic expansion is argued to be equivalent quite generally to Classical Effective Field Theory (ClEFT) where one (or more) of the zones is replaced by an effective theory whose terms are organized in order of increasing irrelevancy, as demonstrated by Goldberger and Rothstein in a certain gravitational context. The ClEFT perspective has advantages as the procedure is clearer, it allows a representation via Feynman diagrams, and divergences can be regularized and renormalized in standard field theoretic methods. As a side product we obtain a wide class of classical examples of regularization and renormalization, concepts which are usually associated with Quantum Field Theories. We demonstrate these ideas through the thermodynamics of caged black holes, both simplifying the nonrotating case, and computing the rotating case. In particular we are able to replace the computation of six twoloop diagrams by a single factorizable twoloop diagram, as well as compute certain new threeloop diagrams. The results generalize to arbitrary compactification manifolds. For caged rotating black holes we obtain the leading correction
Thermodynamics of GaussBonnet black holes revisited,” arXiv:0806.4452 [grqc
"... We investigate the GaussBonnet black hole in five dimensional antide Sitter spacetimes (GBAdS). We analyze all thermodynamic quantities of the GBAdS, which is characterized by the GaussBonnet coupling c and mass M, comparing with those of the BornInfeldAdS (BIAdS), ReissnerNorströmAdS black h ..."
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We investigate the GaussBonnet black hole in five dimensional antide Sitter spacetimes (GBAdS). We analyze all thermodynamic quantities of the GBAdS, which is characterized by the GaussBonnet coupling c and mass M, comparing with those of the BornInfeldAdS (BIAdS), ReissnerNorströmAdS black holes (RNAdS), SchwarzschildAdS (SAdS), and BTZ black holes. For c < 0 we cannot obtain the black hole with positively definite thermodynamic quantities of mass, temperature, and entropy because the entropy does not satisfy the arealaw. On the other hand, for c> 0, we find the BIAdSlike black hole, showing that the coupling c plays the role of pseudocharge. Importantly, we could not obtain the SAdS in the limits of c → 0, which means that the GBAdS is basically different from the SAdS. In addition, we clarify the connections between thermodynamic and dynamical stability. Finally, we also conjecture that if a black hole is big and thus globally stable, its quasinormal modes may take analytic expressions.
Higherdimensional rotating charged black holes,” arXiv:1012.4517 [hepth
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PHASES OF HIGHER DIMENSIONAL BLACK HOLES
, 2008
"... We review some of the most striking properties of the phase diagrams of higher dimensional black holes in pure gravity. We focus on static black hole solutions with KaluzaKlein asymptotics and stationary black hole solutions in flat Minkowski space. Both cases exhibit a rich pattern of interconnect ..."
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We review some of the most striking properties of the phase diagrams of higher dimensional black holes in pure gravity. We focus on static black hole solutions with KaluzaKlein asymptotics and stationary black hole solutions in flat Minkowski space. Both cases exhibit a rich pattern of interconnected phases and merger points with topology changing transitions. In the first case, the phase diagram includes uniform and nonuniform black strings, localized black holes and sequences of KaluzaKlein bubbles. In the latter case, it includes MyersPerry black holes, black rings, black saturns and pinched black holes.
Black holes and strings in the water tap
, 705
"... The return of the membrane paradigm? ..."
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Preprint typeset in JHEP style HYPER VERSION IFUM898FT
, 708
"... Abstract: We present nonextremal magnetic black string solutions in fivedimensional gauged supergravity. The conformal infinity is the product of time and S 1 × Sh, where Sh denotes a compact Riemann surface of genus h. The construction is based on both analytical and numerical techniques. We compu ..."
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Abstract: We present nonextremal magnetic black string solutions in fivedimensional gauged supergravity. The conformal infinity is the product of time and S 1 × Sh, where Sh denotes a compact Riemann surface of genus h. The construction is based on both analytical and numerical techniques. We compute the holographic stress tensor, the Euclidean action and the conserved charges of the solutions and show that the latter satisfy a Smarrtype formula. The phase structure is determined in the canonical ensemble, and it is shown that there is a first order phase transition from small to large black strings, which disappears above a certain critical magnetic charge that is obtained numerically. For another particular value of the magnetic charge, that corresponds to a twisting of the dual super YangMills theory, the conformal anomalies coming from the background curvature and those arising from the coupling to external gauge fields exactly cancel. We also obtain supersymmetric solutions describing waves propagating on extremal BPS magnetic black strings, and show that they possess a SiklosVirasoro reparametrization invariance.