General relativistic effects in neutron star electrodynamics

Abstract

The paper explores general relativistic (GR) effects in electromagnetic fields of the rotating neutron star. The star has been assumed as a perfect conductor with infinity electric conductivity, i.e., $\ensuremath{\sigma}\ensuremath{\rightarrow}\ensuremath{\infty}$. The analytical form of general relativistic Maxwell's equations for the electromagnetic fields has been derived in the presence of gravity. It is shown that six components of the electromagnetic fields can be expressed in terms of two profile functions. It has been shown that the Lense-Thirring term plays an important role in the generation of the multipole electromagnetic fields. We obtain that the rotation of the quadrupole magnetic field can create the dipole electric field. Moreover, we have also shown that GR effects are reasonably large for the highest order of electromagnetic multipole. Finally, as a test of our results, we investigate the effect of the Lense-Thirring term on the luminosity of magnetodipolar radiations.