Viscous asymptotically flat Reissner-Nordström black branes

Self Cite

Abstract:We study the long-wavelength effective description of two general classes of charged dilatonic (asymptotically flat) black p-branes including D/NS/M-branes in ten and eleven dimensional supergravity. In particular, we consider gravitational brane solutions in a hydrodynamic derivative expansion (to first order) for arbitrary dilaton coupling and for general brane and co-dimension and determine their effective electro-fluid-dynamic descriptions by exacting the characterizing transport coefficients. We also investigate the stability properties of the corresponding hydrodynamic systems by analyzing their response to small long-wavelength perturbations. For branes carrying unsmeared charge, we find that in a certain regime of parameter space there exists a branch of stable charged configurations. This is in accordance with the expectation that D/NS/M-branes have stable configurations, except for the D5, D6, and NS5. In contrast, we find that Maxwell charged brane configurations are Gregory-Laflamme unstable independently of the charge and, in particular, verify that smeared configurations of D0-branes are unstable. Finally, we provide a modification to the mapping presented in arXiv:1211.2815 and utilize it to provide a non-trivial cross-check on a certain subset of our transport coefficients with the results of arXiv:1110.2320.

Section: Jhep04(2015)171mentioning

confidence: 60%

Section: Jhep04(2015)171mentioning

confidence: 82%

“…We note that, as in ref. [14], this is a genuine first-order derivative effect, meaning that the instability is not visible to leading order.…”

Section: Jhep04(2015)171mentioning

confidence: 97%

Section: The Perturbative Expansionmentioning

confidence: 99%

“…These results provide the dilaton generalization of the results originally presented in ref. [14]. In terms of the parameter N , the dilaton coupling a now takes the form,…”

Section: Hydrodynamics Of Dilatonic Maxwell Charged Branesmentioning

confidence: 99%

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Probing the hydrodynamic limit of (super)gravity

Dato

Gath

Pedersen

2015

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Instabilities of thin black rings: closing the gap

Armas

Parisini

2019

We initiate the study of dynamical instabilities of higher-dimensional black holes using the blackfold approach, focusing on asymptotically flat boosted black strings and singlyspinning black rings in D ≥ 5. We derive novel analytic expressions for the growth rate of the Gregory-Laflamme instability for boosted black strings and its onset for arbitrary boost parameter. In the case of black rings, we study their stability properties in the region of parameter space that has so far remained inaccessible to numerical approaches. In particular, we show that very thin (ultraspinning) black rings exhibit a Gregory-Laflamme instability, giving strong evidence that black rings are unstable in the entire range of parameter space. For very thin rings, we show that the growth rate of the instability increases with increasing non-axisymmetric mode m while for thicker rings, there is competition between the different modes. However, up to second order in the blackfold approximation, we do not observe an elastic instability, in particular for large modes m 1, where this approximation has higher accuracy. This suggests that the Gregory-Laflamme instability is the dominant instability for very thin black rings. Additionally, we find a long-lived mode that describes a wiggly time-dependent deformation of a black ring. We comment on disagreements between our results and corresponding ones obtained from a large D analysis of black ring instabilities.Besides having proved to be extremely useful in finding new black hole solutions [14][15][16][17][18] in asymptotically flat space, we demonstrate here that the blackfold approach [7, 19] is a powerful tool for studying hydrodynamic (i.e. Gregory-Laflamme) and elastic instabilities of higher-dimensional black holes in the ultraspinning regime and away from it. 1 In this context, one first finds a stationary solution, modelled as a fluid confined to a surface, corresponding to the black hole solution whose stability one wishes to study. The fundamental fluid variables and the geometric properties of the surface describing the equilibrium configuration of the fluid are subsequently perturbed and the stability properties of black holes are found by studying the propagation of hydrodynamic and elastic modes.Black rings can be classified as thin 0 ≤ ν < 1/2 or as fat 1/2 ≤ ν < 1 where for very thin rings ν = r 0 /R is a measure of the ring thickness. Studying Penrose inequalities, the fat branch of black rings in D = 5 has been shown to be unstable [20][21][22] while for the thin branch in D = 5, the instability of black rings relies on numerical studies [6,12]. However, these numerical studies, due to lack of accuracy, have only established the existence of instabilities for ν ≥ 0.144 [6] and for ν ≥ 0.15 [12]. The region ν < 0.144 is left unknown, with the only suggestive arguments of [7,8] being applicable in the strict case of ν = 0, for which there is barely any distinction between the black ring and the boosted black string. Additionally, the numerical studies of [6,12] have not consid...

Supersymmetric perturbations of the M5 brane

Niarchos

2014

We study long-wavelength supersymmetric deformations of brane solutions in supergravity using an extension of previous ideas within the general scheme of the blackfold approach. As a concrete example, we consider long-wavelength perturbations of the planar M2-M5 bound state solution in eleven-dimensional supergravity. We propose a specific ansatz for the first order deformation of the supergravity fields and explore how this deformation perturbs the Killing spinor equations. We find that a special part of these equations gives a projection equation on the Killing spinors that has the same structure as the κ-symmetry condition of the abelian M5 brane theory. Requiring a match between supergravity and gauge theory implies a specific non-linear gauge-gravity map between the bosonic fields of the abelian M5 brane theory and the gravity-induced fluid-like degrees of freedom of the blackfold equations that control the perturbative gravity solution. This observation sheds new light on the SUGRA/DBI correspondence.