Black-brane instability in an arbitrary dimension

Barak Kol*, Evgeny Sorkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

63 Scopus citations


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 large D asymptotics of the critical, i.e. marginally stable, string following an earlier numerical analysis. For a background with an arbitrary compactification manifold we give an expression for the critical mass of a corresponding black brane. This expression is completely explicit for Tn, the n-dimensional torus of an arbitrary shape. An indication is given that by employing a higher dimensional torus, rather than a single compact dimension, the total critical dimension above which the nature of the black-brane-black-hole phase transition changes from sudden to smooth could be as low as D ≤ 11.

Original languageAmerican English
Pages (from-to)4793-4804
Number of pages12
JournalClassical and Quantum Gravity
Issue number21
StatePublished - 7 Nov 2004


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