Abstract
We show some physical properties of the systems of regular black di-ring (the regular gravitational systems with two S-rotational black rings arranged in a concentric way in five-dimensional asymptotically flat spacetimes). In particular the existence of isothermal systems of black di-ring is shown, in which both isothermality and isorotation between the inner black ring and the outer black ring are realized. We also give some properties of the thermodynamic black di-ring including discussion about thermodynamic stabilities of the system.
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