# LG (Landau–Ginzburg) in GL (Gregory–Laflamme)

@article{Kol2006LGI, title={LG (Landau–Ginzburg) in GL (Gregory–Laflamme)}, author={Barak Kol and Evgeny Sorkin}, journal={Classical and Quantum Gravity}, year={2006}, volume={23}, pages={4563 - 4592} }

This paper continues the study of the Gregory–Laflamme instability of black strings, or more precisely of the order of the transition, being either first or second order, and the critical dimension which separates the two cases. First, we describe a novel method based on the Landau–Ginzburg perspective for the thermodynamics that somewhat improves the existing techniques. Second, we generalize the computation from a circle compactification to an arbitrary torus compactification. We explain that…

## 16 Citations

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- Physics
- 2007

We consider black p-branes on square torus. We find an indication of a cascade of Gregory-Laflamme transitions between black p-brane and (p - 1)-brane. Through AdS/CFT correspondence, these…

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The nonuniform black-strings branch, which emerges from the critical Gregory-Laflamme string, is numerically constructed in dimensions 6{<=}D{<=}11 and extended into the strongly nonlinear regime.…

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Non-uniform black strings coupled to a gauge field are constructed by a perturbative method in a wide range of spacetime dimensions. At the linear order of perturbations, we see that the…

### Instabilities of black strings and branes

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We review recent progress on the instabilities of black strings and branes both for pure Einstein gravity as well as supergravity theories which are relevant for string theory. We focus mainly on…

### High and low dimensions in the black hole negative mode

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The negative mode of the Schwarzschild black hole is central to Euclidean quantum gravity around hot flat space and for the Gregory–Laflamme black string instability. We analyze the eigenvalue as a…

### Gauge-eliminated derivation of the black-hole negative mode

- Physics
- 2008

The negative mode of the Schwarzschild black hole is central to Euclidean quantum gravity around hot flat space and for the Gregory-Laflamme black-string instability. Numerous gauges were employed in…

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We generate charged black brane solutions in D−dimensions in a theory of gravity coupled to a dilaton and an antisymmetric form, by using a Harrison-type transformation. The seed vacuum solutions…

### Black Holes in Higher-Dimensional Gravity

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This article reviews some of the recent progress in uncovering the phase structure of black hole solutions in higher-dimensional vacuum Einstein gravity. The two classes on which we focus are…

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This paper describes and proves a canonical procedure to decouple perturbations and optimize their gauge around backgrounds with one non-homogeneous dimension, namely of co-homogeneity 1, while…

## References

SHOWING 1-10 OF 24 REFERENCES

### Classical and thermodynamic stability of black branes

- Physics
- 2001

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…

### Dynamic and thermodynamic stability and negative modes in Schwarzschild-anti-de Sitter black holes

- Physics
- 2000

The thermodynamic properties of Schwarzschild\char21{}anti-de Sitter black holes confined within finite isothermal cavities are examined. In contrast with the Schwarzschild case, the infinite cavity…

### Stability and the negative mode for a Schwarzschild black hole in a finite cavity

- Physics
- 2001

It has been proposed that translationally invariant black branes are classically stable if and only if they are locally thermodynamically stable. Reall has outlined a general argument to demonstrate…

### Critical dimension in the black-string phase transition.

- PhysicsPhysical review letters
- 2004

This work considers black strings wrapped over the compact circle of a d-dimensional cylindrical spacetime and calculates the instability mass for a large range of dimensions and finds that it follows an exponential law gamma(d), where gamma<1 is a constant.

### Black-brane instability in an arbitrary dimension

- Physics
- 2004

The black-hole-black-string system is known to exhibit critical dimensions and therefore it is interesting to vary the spacetime dimension D, treating it as a parameter of the system. We derive the…

### On non-uniform smeared black branes

- Physics
- 2005

We investigate charged dilatonic black p-branes smeared on a transverse circle. The system can be reduced to neutral vacuum black branes, and we perform static perturbations for the reduced system to…

### Topology change in general relativity, and the black-hole black-string transition

- Physics
- 2005

In the presence of compact dimensions massive solutions of General Relativity may take one of several forms including the black-hole and the black-string, the simplest relevant background being 3+1 ×…

### Caged black holes: Black holes in compactified spacetimes. II. 5D numerical implementation

- Physics
- 2004

We describe the first convergent numerical method to determine static black hole solutions (with S^3 horizon) in 5d compactified spacetime. We obtain a family of solutions parametrized by the ratio…

### Black Holes on Cylinders

- Physics
- 2002

We take steps toward constructing explicit solutions that describe non-extremal charged dilatonic branes of string/M-theory with a transverse circle. Using a new coordinate system we find an ansatz…