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… 

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