Instability of charged black holes in anti-de Sitter space

By S. Gubser, Indrajit Mitra. 2000

268 citations recorded by the source corpus.

We exhibit a tachyonic mode in a linearized analysis of perturbations of large anti-de Sitter Reissner-Nordstrom black holes in four dimensions. In the large black hole limit, and up to a 0.7% discrepancy which is probably round-off error in the numerical analysis, the tachyon appears precisely when the black hole becomes thermodynamically unstable.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2cf3a85031ea099163947a0048e81be1ca35d163

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Citations in the corpus

Stability of Black Holes and Black Branes (2012, methodology): “For the case of black branes, a simple criterion for stability was proposed in [18, 19], based on the analogy between laws of black hole mechanics and the laws of thermodynamics.”
Impure AdS/CFT correspondence (2008, unknown): “16 93 v2 [”
Mimicking the QCD equation of state with a dual black hole (2008, background): “However, the CSC remains a conjecture, and there appears to be room for violations: see for example [23, 24, 25].”
The phase transition between caged black holes and black strings (2004, background): “on to other ensembles exists (in progress). For instance, that would – 44 – allow to settle the conjectured (micro-canonical) instability of the non-uniform string (for D < 14). • Gubser and Mitra [63] conjectured already in 2000 a connection between perturbative and thermodynamic instabilities o”
An instability of higher-dimensional rotating black holes (2010, background): “[31] to justify the Gubser-Mitra conjecture regarding black string stability [15, 16].”
Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime (2009, methodology): “In [ 19 ] it was found that the AdS-RN black hole in N = 8 four-dimensional gauged supergravity is unstable against fluctuations involving a scalar and four gauge fields.”
The evolution of unstable black holes in anti-de Sitter space (2000, methodology): “Using the heuristic method of calculating the most unstable eigenvector of the Hessian of the entropy function, we have argued that adiabatic evolution of unstable black holes does not lead to nakedly singular solutions.”
A holographic critical point (2010, background): “Precisely for T = Tc the curve will cease to be multivalued, as the three solutions coalesce into one; the curve ρ(μ) will have an infinite slope, indicating (9)According to the correlated stability conjecture (CSC) [24, 25], such black hole solutions will also have dynamical instabilities, correspo”
Fluid dynamics of R-charged black holes (2008, background): “ in this limit, ev en though the temperature vanishes, the mean free path is not necessarily vanishing and one might expect a hydrodynamic description of the theory in this regime. However, following [41], it was also argued that this regime of the theory is likely to be unstable. We will also see s”
A Holographic View on Physics out of Equilibrium (2010, methodology): “For pure Maxwell field interacting with gravity, these include charge redistribution as discussed originally in [45, 46], or the more recent examples involving Chern-Simons dynamics [47].”
Large rotating AdS black holes from fluid mechanics (2007, background): “We note that Gubser and Mitra have previously observed that charged black branes near extremality are sometimes thermodynamically unstable [30].”
Hydrodynamics of R-charged black holes (2006, background): “Starting from Section 4, we specialize to the single(1)The related instability of the gravitational background was studied in [13].”
Static axisymmetric vacuum solutions and non-uniform black strings (2002, background): “The relation between the two has been shown in the case of strings with a non-compact translational symmetry [13, 14, 16].”
Black hole bound states in AdS(3) x S**2 (2008, background): “Related thermodynamical as well as dynamical instabilities were studied among others in [6, 7, 8, 9, 10, 11, 12 , 13, 14, 15].”