TY - JOUR

T1 - Black-brane instability in an arbitrary dimension

AU - Kol, Barak

AU - Sorkin, Evgeny

PY - 2004/11/7

Y1 - 2004/11/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=8744299888&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/21/21/003

DO - 10.1088/0264-9381/21/21/003

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AN - SCOPUS:8744299888

SN - 0264-9381

VL - 21

SP - 4793

EP - 4804

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 21

ER -