Phase Structure of Black Di-ring in Five-Dimensional Asymptotically Flat Vacuum Gravity

Abstract

We analyze the phase structure of five-dimensional black di-ring in asymptotically flat vacuum gravity. We numerically plot the points of black di-rings in the phase diagram to search the region covered by black di-rings. The distribution of black di-ring shows that the area of black di-ring is always less than the maximum value of black ring. The plot indicates that there are black di-ring configurations whose area parameters are close to zero.