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  4. On the null one-way solution to Maxwell equations in the Kerr space-time

On the null one-way solution to Maxwell equations in the Kerr space-time

MMC.
2018;
Volume 5, Number 2
: 201-206
https://doi.org/10.23939/mmc2018.02.201
Received: December 03, 2018

Math. Model. Comput. Vol. 5, No. 2, pp. 201-206 (2018)

Authors:
  1. V. Pelykh
  2. Y. Taistra
1
Pidstryhach Institute for Applied Problems for Mechanics and Mathematics, National Academy of Sciences of Ukraine
2
Pidstryhach Institute for Applied Problems for Mechanics and Mathematics, National Academy of Sciences of Ukraine; Lviv Polytechnic National University

We consider Maxwell equations  with the null one-way condition in the Kerr space-time. For each ODE equation, which is obtained by using the method of separable variables, we impose some boundary conditions. This is resulting in the boundedness of the separation constant $\omega$ and in fixing the azimuthal number $m$ by the values $\pm 1$. The problem considered demonstrates physical applicability of singular solutions and presents an interest for astrophysics.

algebraically special field
Maxwell equations
Kerr space-time
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