Thermodynamic black di-rings

Abstract

Previously the five dimensional $S^1$-rotating black rings have been superposed in a concentric way by some solitonic methods, and regular systems of two $S^1$-rotating black rings were constructed by the authors and then Evslin and Krishnan (we called these solutions "black di-rings"). In this place we show some characteristics of the solutions of five dimensional black di-rings, especially in thermodynamic equilibrium. After the summary of the di-ring expressions and their physical quantities, first we comment on the equivalence of the two different solution sets of the black di-rings. Then the existence of thermodynamic black di-rings is shown, in which both isothermality and isorotation between the inner black ring and the outer black ring are realized. We also give detailed analysis of peculiar properties of the thermodynamic black di-ring including discussion about a certain kind of thermodynamic stability (instability) of the system.

26 pages,10 figures; references added, typos corredted

References in corpus (12)

• Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
• Bicycling Black Rings
• An instability of higher-dimensional rotating black holes
• Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
• Orthogonal black di-ring solution
• Dynamics and Stability of Black Rings
• Phases of Five-Dimensional Black Holes
• Solitonic generation of five-dimensional black ring solution
• Boundary Value Problem for Black Rings
• Vaccum solutions of five-dimensional Einstein equations generated by inverse scattering method II : Production of black ring solution
• Solitonic generation of vacuum solutions in five-dimensional General Relativity
• Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations