Abstract <p>Within the framework of parameterized post-Maxwellian vacuum electrodynamics, the propagation of an X-ray and gamma radiation pulse through the electromagnetic field of a relativistically rotating pulsar is investigated. Expressions are obtained for the trajectory of this pulse and for the law of its motion from the point <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbf{r}_{s}=\{x_{s},y_{s},z_{s}\},\)</EquationSource> <!--BPhysMGU2570106Seidaliyeva-m1--> </InlineEquation> where at the moment of time <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(t=t_{s}\)</EquationSource> <!--BPhysMGU2570106Seidaliyeva-m2--> </InlineEquation> an X-ray or gamma-ray burst occurs, to the point <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathbf{r}_{d}=\{x_{s},y_{s},z_{d}\},\)</EquationSource> <!--BPhysMGU2570106Seidaliyeva-m3--> </InlineEquation> where the detector of this radiation is located. In the case when the post-Maxwellian parameters of the theory differ, <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\eta_{1}\neq\eta_{2}\)</EquationSource> <!--BPhysMGU2570106Seidaliyeva-m4--> </InlineEquation>, the time of nonlinear electrodynamic delay of electromagnetic signals carried by different normal modes is calculated. The change in the polarization state of the X-ray or gamma radiation pulse after passing through the electromagnetic field of a relativistically rotating pulsar is analyzed. The possibilities of observing the nonlinear effect of the electromagnetic field of a relativistically rotating pulsar on X-ray and gamma-ray pulses are discussed.</p>

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Effect of Birefringence of Electromagnetic Radiation in the Field of a Relativistically Rotating Pulsar or Magnetar within the Framework of Nonlinear Vacuum Electrodynamics

  • M. S. Seidaliyeva,
  • V. I. Denisov,
  • I. P. Denisova

摘要

Abstract

Within the framework of parameterized post-Maxwellian vacuum electrodynamics, the propagation of an X-ray and gamma radiation pulse through the electromagnetic field of a relativistically rotating pulsar is investigated. Expressions are obtained for the trajectory of this pulse and for the law of its motion from the point \(\mathbf{r}_{s}=\{x_{s},y_{s},z_{s}\},\) where at the moment of time \(t=t_{s}\) an X-ray or gamma-ray burst occurs, to the point \(\mathbf{r}_{d}=\{x_{s},y_{s},z_{d}\},\) 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 carried by different normal modes is calculated. The change in the polarization state of the X-ray or gamma radiation pulse after passing through the electromagnetic field of a relativistically rotating pulsar is analyzed. The possibilities of observing the nonlinear effect of the electromagnetic field of a relativistically rotating pulsar on X-ray and gamma-ray pulses are discussed.