Dynamic and Thermodynamic Stability of Black Holes and Black Branes

Wald, Robert M.

doi:10.1007/978-3-319-06349-2_10

Cited by 2 publications

(6 citation statements)

References 10 publications

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“…Confirmation of this suggested stability phase structure could be made by a direct analysis of the quasinormal modes, or by further development of the relation between quantum thermodynamic stability and classical dynamical stability for higher-derivative gravity theories, along the lines of the canonical energy analysis of References [26,27].…”

Section: The Analysis Of Relations Between Thermodynamic and Dynamicamentioning

confidence: 79%

“…An important issue for a variety of black-hole systems has been the relation between thermodynamic instability and spacetime dynamical instability [23][24][25][26][27]. This is clearly germane to the context of the present paper as one can see from the rôle of the Gross-Perry-Yaffe Lichnerowicz negative eigenvalue in setting the boundary of the Schwarzschild dynamical S-wave instability, whereas it originally arose in the analysis of thermodynamic instability in Euclideanised quantum gravity.…”

Section: Thermodynamic Implications For Stabilitymentioning

confidence: 82%

Section: Thermodynamic Implications For Stabilitymentioning

confidence: 89%

“…One message of these studies is that spacetime dynamical instability requires thermodynamic instability, although the converse is not always the case. For systems with extensive quantities including ADM mass M together with other extensive quantities X i , such as angular momentum J i , ADM spatial momentum P i or charges Q i , dynamical stability is equivalent [27] to thermodynamic stability on the subspace of perturbations satisfying δM = δX i = 0 . where the presence of nonzero angular momentum J i allows for thermodynamically and dynamically unstable perturbations satisfying (7.1) to exist, leading, e.g., to the phenomenon of superradiance [11,28].…”

Section: Thermodynamic Implications For Stabilitymentioning

confidence: 99%

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Lichnerowicz modes and black hole families in Ricci quadratic gravity

et al. 2017

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A new branch of black hole solutions occurs along with the standard Schwarzschild branch in n-dimensional extensions of general relativity including terms quadratic in the Ricci tensor. The standard and new branches cross at a point determined by a static negative-eigenvalue eigenfunction of the Lichnerowicz operator, analogous to the GrossPerry-Yaffe eigenfunction for the Schwarzschild solution in standard n = 4 dimensional general relativity. This static eigenfunction has two rôles: both as a perturbation away from Schwarzschild along the new black-hole branch and also as a threshold unstable mode lying at the edge of a domain of Gregory-Laflamme-type instability of the Schwarzschild solution for small-radius black holes. A thermodynamic analogy with the Gubser and Mitra conjecture on the relation between quantum thermodynamic and classical dynamical instabilities leads to a suggestion that there may be a switch of stability properties between the old and new black-hole branches for small black holes with radii below the branch crossing point.

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Section: The Analysis Of Relations Between Thermodynamic and Dynamicamentioning

confidence: 79%

Section: Thermodynamic Implications For Stabilitymentioning

confidence: 82%

Section: Thermodynamic Implications For Stabilitymentioning

confidence: 89%

Section: Thermodynamic Implications For Stabilitymentioning

confidence: 99%

See 2 more Smart Citations

Lichnerowicz modes and black hole families in Ricci quadratic gravity

et al. 2017

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“…For each value of m < m t , we find two families of solutions with different values of ρ and s. The family of solutions with lower energy and entropy densities are unstable against a Gregory-Laflamme instability along the brane directions w i . This follows from the analysis of [43,44]: the instability sets in precisely at the turning point m = m t of the canonical phase diagram (free energy density vs mass deformation; see the right panel of Fig. 4).…”

Section: Thermal Phases With σ = 0: No Gaugino Condensationmentioning

confidence: 86%

Holographic dual of hot Polchinski-Strassler quark-gluon plasma

Bena

Dias

Hartnett

et al. 2019

J. High Energ. Phys.

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We construct the supergravity dual of the hot quark-gluon plasma in the massdeformed N = 4 Super-Yang-Mills theory (also known as N = 1 * ). The full ten-dimensional type IIB holographic dual is described by 20 functions of two variables, which we determine numerically, and it contains a black hole with S 5 horizon topology. As we lower the temperature to around half of the mass of the chiral multiplets, we find evidence for (most likely a first-order) phase transition, which could lead either to one of the Polchinski-Strassler confining, screening, or oblique vacua with polarized branes, or to an intermediate phase corresponding to blackened polarized branes with an S 2 × S 3 horizon topology. This phase transition is a feature that could in principle be seen by putting the theory on the lattice, and thus our result for the ratio of the chiral multiplet mass to the phase transition temperature, m c /T = 2.15467491205(6), constitutes the first prediction of string theory and AdS/CFT that could be independently checked via four-dimensional super-QCD lattice computation. We also construct the black-hole solution in certain five-dimensional gauged supergravity truncations and, without directly using uplift/reduction formulae, we find strong evidence that the five-and ten-dimensional solutions are the same. This indicates that five-dimensional gauged supergravity is powerful enough to capture the physics of the high-temperature deconfined phase of the Polchinski-Strassler quark-gluon plasma. Dedicated to the memory of Joe Polchinski arXiv:1805.06463v1 [hep-th] 16 May 2018 Contents 1 Introduction 1 2 N = 1 * super-Yang-Mills and its holographic dual 5 2.1 The vacua of the N = 1 * theory and their supergravity duals 5 2.2 Five-dimensional gauged supergravity and GPPZ flow 7 2.3 The uplift of the supersymmetric GPPZ solution to ten dimensions 10 2.4 The 5D-10D connection 11 3 The SO(3)-invariant flows at finite temperature in 5d 12 3.1 The 2-scalar GPPZ subsector 12 3.2 Constructing finite-temperature flows in the 2-scalar GPPZ subsector 13 3.3 Thermal phases of the 2-scalar GPPZ subsector: results 17 4 The SO(3)×U (1)-invariant finite-temperature flows in type IIB supergravity 23 4.1 The type IIB equations of motion 23 4.2 The cohomogeneity-2 ansatz 25 4.3 Numerical scheme 28 4.4 Energy and a Smarr relation 30 4.5 IIB description of the deconfined high-temperature phase: results 33 5 Conclusion 35These are equivalent to the commutation relations of SU (2), and thus the (classical) vacua are classified by homomorphisms of SU (2) into the gauge group SU (N ). These have a nice combinatoric structure, which we will not detail here (but we refer the reader to [28]). In particular, there exist special vacua for each positive integer d that divides N , which have (classically) an unbroken SU (d) gauge symmetry. Quantum mechanically, these vacua split into d separate vacua with totally broken gauge symmetry and a mass gap [5]. They can be described as Higgs or screening (d = 1), confining (d = N ), or oblique confining (1 < d...

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Dynamic and Thermodynamic Stability of Black Holes and Black Branes

Cited by 2 publications

References 10 publications

Lichnerowicz modes and black hole families in Ricci quadratic gravity

Lichnerowicz modes and black hole families in Ricci quadratic gravity

Holographic dual of hot Polchinski-Strassler quark-gluon plasma

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