We construct black ring solutions in five-dimensional U(1)3supergravity which carry three dipole charges, three electric charges and one angular momentum parameter.These solutions are written in a form that is sufficiently compact that their global and thermodynamic properties can be studied explicitly. In particular, we find that the Smarrformula is obeyed regardless of whether or not conical singularities are present, where as the first law of thermodynamics holds only in the absence of conical singularities. We also present black ring solutions with three background magnetic fields.
Lu, H.; Pope, C. N.; Vázquez-Poritz, Justin F.; and Zhang, Zhibai, "Singly-spinning black rings inD= 5 U(1)3 supergravity" (2015). CUNY Academic Works.