The perturbation solutions to the Blandford-Znajek mechanism in the Kerr-Sen black hole

Abstract

We investigate the steady, axisymmetric, force-free magnetosphere of Kerr-Sen black hole (BH) within the framework of the Einstein-Maxwell-dilaton-axion (EMDA) theory. By perturbatively solving the nonlinear Grad-Shafranov (GS) equation, we determine the magnetic field configuration and quantify the influence of the dilaton parameter r2 on the energy extraction rate and radiative efficiency. Our results show that both the energy extraction power and the radiative efficiency increase with r2, exceeding those of the standard Kerr BH, whereas the extraction efficiency remain consistent with the Kerr case. In addition, we perform 2 statistical analysis using observational data from six binary BH systems, which indicates that the Kerr BH currently provides a better fit for bulk Lorentz factors = 2 and 5.

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