The effect of electromagnetic radiation birefringence in the field of a relativistically rotating pulsar or magnetar within the framework of vacuum nonlinear electrodynamic

TL;DR

This paper investigates how vacuum nonlinear electrodynamics causes birefringence and polarization changes in high-energy pulses passing near relativistically rotating pulsars or magnetars, providing formulas for pulse trajectories and delays.

Contribution

It derives new expressions for pulse trajectories, delays, and polarization changes in the context of vacuum nonlinear electrodynamics around rotating pulsars or magnetars.

Findings

Calculated nonlinear electrodynamic delays for different normal modes.

Derived the trajectory equations for gamma-ray and X-ray pulses.

Analyzed the polarization state changes after passing through pulsar fields.

Abstract

Within the framework of the parameterized post-Maxwellian vacuum electrodynamics, the propagation of an X-ray or gamma-ray pulse through the electromagnetic field of a relativistically rotating pulsar is studied. Expressions are obtained for the trajectory of this pulse and the law The effect of electromagnetic radiation birefringence in the field of a relativistically rotating pulsar or magnetar within the framework of vacuum nonlinear electrodynamicsof its motion from the point ${\bf r}_s=\{x_s,y_s,z_s\},$ where an X-ray or gamma-ray burst occurs at time $t=t_s$ to the point ${\bf r}_d=\{x_s,y_s,z_d\},$ where the detector of this radiation is located. In the case when the post-Maxwellian parameters of the theory differ, $\eta_1\neq\eta_2$, the time of nonlinear electrodynamic delay of electromagnetic signals transported by different normal modes is calculated. The change in the polarization state of the X-ray or gamma-ray pulse after passing through the electromagnetic field of the relativistically rotating pulsar is analyzed.