New phase diagram for black holes and strings on cylinders

2003/09/30 by Troels Harmark, T. Harmark, N. A. Obers +1 · 9 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/21/6/026

published as Class.Quant.Grav. 21 (2004) 1709 · 19 pages, 6 figures, v2: typos corrected, v3: refs. added, comment on bounds on the relative binding energy n added in end of section 2

arxiv created 2003/11/21 · openalex publication_date 2004/03/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We introduce a novel type of phase diagram for black holes and black strings on cylinders. The phase diagram involves a new asymptotic quantity called the relative binding energy. We plot the uniform string and the non-uniform string solutions in this new phase diagram using Wiseman's data. Intersection rules for branches of solutions in the phase diagram are deduced from a new Smarr formula that we derive.

Citations

• Black strings andp-branes are unstable
• A positivity theorem for gravitational tension in brane spacetimes
• Black holes on cylinders are not algebraically special
• A new proof of the positive energy theorem

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