Electromagnetic fields of slowly rotating magnetized compact stars in conformal gravity
Abstract
In this paper we investigate the exterior vacuum electromagnetic fields of slow-rotating magnetized compact stars in conformal gravity. Assuming the dipolar magnetic field configuration, we obtain an analytical solution of the Maxwell equations for the magnetic and the electric fields outside a slowly rotating magnetized star in conformal gravity. Furthermore, we study the dipolar electromagnetic radiation and energy losses from a rotating magnetized star in conformal gravity. In order to get constraints on the $L$ parameter of conformal gravity, the theoretical results for the magnetic field of a magnetized star in conformal gravity are combined with the precise observational data of radio pulsar period slowdown, and it is found that the maximum value of the parameter of conformal gravity is less than $L\ensuremath{\lesssim}9.5\ifmmode\times\else\texttimes\fi{}{10}^{5}\text{ }\text{ }\mathrm{cm}$ ($L/M\ensuremath{\lesssim}5$).