The effect of the Kerr metric on the plane of polarization of an electromagnetic wave

Physics – Optics

Scientific paper

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Black Holes (Astronomy), Kerr Effects, Linear Polarization, Polarized Light, Relativity, Coordinate Transformations, Geometrical Optics, Rotating Bodies, Trajectory Analysis

Scientific paper

The rotation of the plane of polarization for linearly polarized light rays propagating past a rotating massive body is examined. Two observers in different reference frames are utilized to observe the results for a special class of trajectories: those initially propagating parallel to the symmetry axis of the body to subsequently describe a helical-like path due to the dragging of inertial frames. The description of such trajectories is facilitated by a transformation from the usual Boyler-Lindquist (spherical-like) coordinate form to a cylindrical-like formulation of the Kerr metric. It is then shown that the values for the change in polarization differ between observers within the global inertial frame and the locally nonrotating reference frame. In addition, because of the symmetry, the chosen trajectories maximize the rotational effect upon the polarization vector. Consequently, we exhibit larger values for the rotation of the plane of polarization than what has been previously published.

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