A Cardy‐Like Expression For Charged Rotating Solitons and Black Holes

Abstract This paper aims to propose a Cardy‐like formula characterized by the mass, charge, and angular components of the black hole, along with their corresponding solitonic configuration, obtained through a double Wick rotation. The expression also incorporates the dynamical exponent and effective spatial dimensionality as key elements. To validate the proposal, a new concrete example is presented in which recovery of the semiclassical entropy requires the soliton to possess thermodynamic quantities beyond its mass. Additionally, more examples derived from static black hole solutions are presented, employing a Lorentz boost to calculate their thermodynamic parameters. Finally, a case of a rotating configuration is included, for which the Lorentz boost is not required.