Classical and thermodynamic stability of black branes

By Harvey Reall. 2001

196 citations recorded by the source corpus.

It is argued that many nonextremal black branes exhibit a classical Gregory-Laflamme instability if, and only if, they are locally thermodynamically unstable. For some black branes, the Gregory-Laflamme instability must therefore disappear near extremality. For the black p-branes of the type II supergravity theories, the Gregory-Laflamme instability disappears near extremality for p=1,2,4 but persists all the way down to extremality for p=5,6 (the black D3-brane is not covered by the analysis of this paper). This implies that the instability also vanishes for the near-extremal black M2 and M5-brane solutions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ece9d121fe696907935ff5511d9f5e3d1497c8ef

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Jorge E Santos
2. Ó. J. Dias
3. B. Kol
4. Benson Way
5. T. Wiseman
6. G. Horowitz
7. Harvey Reall
8. S. Hartnoll

In Nuclear and High Energy Physics

1. Jorge E Santos
2. Ó. J. Dias
3. B. Kol
4. G. Horowitz
5. Benson Way
6. T. Wiseman
7. Harvey Reall
8. S. Hartnoll

In Statistical and Nonlinear Physics

1. S. Hartnoll
2. Jorge E Santos
3. S. Gubser
4. B. Kol
5. Benson Way
6. S. Hollands
7. Ó. J. Dias
8. R. Wald

Citations in the corpus

• A Gravitational instability in higher dimensions (2002, methodology): “This should be contrasted with a similar embedding into a higher dimensional Ricci flat spacetime where the stability properties get worse due to negative Lichnerowicz modes in the initial spacetime [31], such as the Gregory-Laflamme instability of nonextremal black strings [32, 33, 25].”
• Topology change in general relativity, and the black-hole black-string transition (2002, methodology): “Other contributions include the realization of the connection between the GL instability and negative specific heat [8, 9], a discussion of the charged non-uniform black string [10], an attempt to use the Petrov classification to derive the metric of the non-uniform string [11], a numerical study of”
• Ricci solitons, Ricci flow and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua (2011, background): “There is of course no direct relationship between a Euclidean negative mode and a Lorentzian unstable mode as one cannot simply continue a time dependent mode and its boundary conditions between the two signatures, so a correspondence only holds for static perturbations [44].”
• The phase transition between caged black holes and black strings (2004, background): “ngth LGL = 2π/kGL ∼ r0/ √ d when it is quite “fat” (namely r0 ≫ LGL) and indicates that such a string would not decay into a black hole which would not “fit” inside the extra dimension. 7Footnote 4 of [38] explains “This relationship (eq. 2.11 - BK) was noted in [41], although the connection with cla”
• Stability of Black Holes and Black Branes (2012, background): “(9)Another argument in favor of the Gubser Mitra conjecture based on a “Wick rotation”, applicable to certain static black branes, has previously been given by [31].”
• A new approach to static numerical relativity and its application to Kaluza–Klein black holes (2009, methodology): “Reall showed that this is simply related to the usual four-dimensional Schwarzschild negative mode [56] with the Gregory–Laflamme zero mode of the uniform string with radius rc being given by Ac μν (r) e iωz.”
• Numerical methods for finding stationary gravitational solutions (2015, background): “[119] H.”
• On non-uniform black branes (2001, background): “Some evidence for this claim was presented in [8, 9], and further arguments have appeared in [10, 11].”
• Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume (2014, unknown): “, [80–84].”
• Mimicking the QCD equation of state with a dual black hole (2008, background): “It was proposed in [13, 14] and further argued in [19] that, in the absence of conserved charges related to gauge symmetries, existence of a Gregory-Laflamme instability [20, 21]”
• GRAVITATIONAL PERTURBATIONS OF HIGHER DIMENSIONAL ROTATING BLACK HOLES (2006, background): “They admit a static zero mode [43] that signifies the onset of instability [44] and suggests the existence of a new family of solutions bifurcating from the known ones [45].”