New Phase Diagram for Black Holes and Strings on Cylinders

TL;DR

This paper introduces a new phase diagram for black holes and strings on cylinders using a novel asymptotic quantity, the relative binding energy, and explores solution branches with a derived Smarr formula.

Contribution

It presents a new phase diagram framework incorporating the relative binding energy and derives intersection rules from a novel Smarr formula.

Findings

Plot of uniform and non-uniform string solutions in the new phase diagram

Derivation of intersection rules for solution branches

Introduction of the relative binding energy as a key parameter

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.