Electromagnetic field around the magnetized and idealized neutron star

The electrodynamics of the highly magnetized and spherical symmetric neutron star within the framework of special relativity has been investigated. It is assumed that the neutron star is isolated and consists of highly conducting matter. Explicit demonstrations were made regarding the multipole solutions for both axially symmetric and non-axially symmetric electromagnetic fields surrounding the neutron star. It was observed that the axially symmetric solutions are independent of time, whereas the non-axially symmetric solutions are time-dependent. Additionally, wave-like solutions for the electromagnetic field in TE and TM modes were derived.

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