New Phase Diagram for Black Holes and Strings on Cylinders
High Energy Physics - Theory
2009-11-10 v3 General Relativity and Quantum Cosmology
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 data of Wiseman. Intersection rules for branches of solutions in the phase diagram are deduced from a new Smarr formula that we derive.
Cite
@article{arxiv.hep-th/0309116,
title = {New Phase Diagram for Black Holes and Strings on Cylinders},
author = {T. Harmark and N. A. Obers},
journal= {arXiv preprint arXiv:hep-th/0309116},
year = {2009}
}
Comments
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