Dynamics of electromagnetic waves in Kerr geometry

TL;DR

This paper derives analytical solutions for electromagnetic waves around Kerr black holes, accounting for spin coupling, which can aid in astrophysical research and understanding wave behavior in curved spacetime.

Contribution

It provides the first complete analytical solution for spin-1 particles in Kerr geometry, explicitly including spin coupling effects.

Findings

Analytical solutions for electromagnetic waves in Kerr spacetime.

Dependence of solutions on spin coupling strength.

Potential applications in astrophysics and wave propagation studies.

Abstract

Here we are interested to study the spin-1 particle i.e., electro-magnetic wave in curved space-time, say around black hole. After separating the equations into radial and angular parts, writing them according to the black hole geometry, say, Kerr black hole we solve them analytically. Finally we produce complete solution of the spin-1 particles around a rotating black hole namely in Kerr geometry. Obviously there is coupling between spin of the electro-magnetic wave and that of black hole when particles propagate in that space-time. So the solution will be depending on that coupling strength. This solution may be useful to study different other problems where the analytical results are needed. Also the results may be useful in some astrophysical contexts.