# Non-uniform black strings and the critical dimension in the 1/D expansion

@article{Suzuki2015NonuniformBS, title={Non-uniform black strings and the critical dimension in the 1/D expansion}, author={Ryo Suzuki and Kentaro Tanabe}, journal={Journal of High Energy Physics}, year={2015}, volume={2015}, pages={1-33} }

A bstractNon-uniform black strings (NUBS) are studied by the large D effective theory approach. By solving the near-horizon geometry in the 1/D expansion, we obtain the effective equation for the deformed horizon up to the next-to-next-to-leading order (NNLO) in 1/D. We also solve the far-zone geometry by the Newtonian approximation. Matching the near and far zones, the thermodynamic variables are computed in the 1/D expansion. As the result, the large D analysis gives a critical dimension D…

## 59 Citations

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## References

SHOWING 1-10 OF 40 REFERENCES

### Quasinormal modes of (anti-)de Sitter black holes in the 1/D expansion

- Physics
- 2015

A bstractWe use the inverse-dimensional expansion to compute analytically the frequencies of a set of quasinormal modes of static black holes of Einstein-(Anti-)de Sitter gravity, including the cases…

### Effective theory of black holes in the 1/D expansion

- Physics
- 2015

A bstractThe gravitational field of a black hole is strongly localized near its horizon when the number of dimensions D is very large. In this limit, we can effectively replace the black hole with a…

### 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.

### Large-D gravity and low-D strings.

- PhysicsPhysical review letters
- 2013

It is shown that in the limit of a large number of dimensions a wide class of nonextremal neutral black holes has a universal near-horizon limit, and the analogies between the α' expansion in string theory and the large-D expansion in gravity suggest a possible effective string description of theLarge-D limit of black holes.

### Decoupling and non-decoupling dynamics of large D black holes

- Physics
- 2014

A bstractThe limit of large number of dimensions localizes the gravitational field of a black hole in a well-defined region near the horizon. The perturbative dynamics of the black hole can then be…

### Matched asymptotic expansion for caged black holes: regularization of the post-Newtonian order

- Physics
- 2005

The ‘dialogue of multipoles’ matched asymptotic expansion for small black holes in the presence of compact dimensions is extended to the post-Newtonian order for arbitrary dimensions. Divergences are…

### Instability of rotating black holes: large D analysis

- Physics
- 2014

A bstractWe study the stability of odd-dimensional rotating black holes with equal angular momenta by performing an expansion in the inverse of the number of dimensions D. Universality at large D…

### The large D limit of General Relativity

- Physics
- 2013

A bstractGeneral Relativity simplifies dramatically in the limit that the number of spacetime dimensions D is infinite: it reduces to a theory of non-interacting particles, of finite radius but…

### A Dialogue of multipoles: Matched asymptotic expansion for caged black holes

- Physics
- 2004

No analytic solution is known to date for a black hole in a compact dimension. We develop an analytic perturbation theory where the small parameter is the size of the black hole relative to the size…

### Nonuniform black strings in various dimensions

- Physics
- 2006

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.…