Thermodynamics and Stability of Flat Anti-de Sitter Black Strings

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dc.creatorChen, Si
dc.creatorSchleich, Kristin
dc.creatorWitt, Donald M.
dc.date2008-09-08
dc.date.accessioned2026-07-07T12:22:32Z
dc.date.available2026-07-07T12:22:32Z
dc.descriptionWe examine the thermodynamics and stability of 5-dimensional flat anti-de Sitter (AdS) black strings, locally asymptotically anti-de Sitter spacetimes whose spatial sections are AdS black holes with Ricci flat horizons. We find that there is a phase transition for the flat AdS black string when the AdS soliton string is chosen as the thermal background. We find that this bulk phase transition corresponds to a 4-dimensional flat AdS black hole to AdS soliton phase transition on the boundary Karch-Randall branes. We compute the possibility of a phase transition from a flat AdS black string to a 5-dimensional AdS soliton and show that, though possible for certain thin black strings, the transition to the AdS soliton string is preferred. In contrast to the case of the Schwarzschild-AdS black string, we find that the specific heat of the flat AdS black string is always positive; hence it is thermodynamically stable. We show numerically that both the flat AdS black string and AdS soliton string are free of a Gregory-Laflamme instability for all values of the mass parameter. Therefore the Gubser-Mitra conjecture holds for these spacetimes.
dc.description14 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0809.1367
dc.identifierhttp://arxiv.org/abs/0809.1367
dc.identifierPhys.Rev.D78:126001,2008
dc.identifierdoi:10.1103/PhysRevD.78.126001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213682
dc.subjectHigh Energy Physics - Theory
dc.titleThermodynamics and Stability of Flat Anti-de Sitter Black Strings
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