Trajectory of a light ray in Kerr field: A material medium approach

Abstract

The deflection of light ray as it passes around a gravitational mass can be calculated by different methods. Such calculations are generally done by using the null geodesics under both strong field and weak field approximation. However, several authors have studied the gravitational deflection of light ray using material medium approach. For a static, non-rotating spherical mass, one can determine the deflection in Schwarzschild field, by expressing the line element in an isotropic form and calculating the refractive index to determine the trajectory of the light ray. In this paper, we draw our attention to the refractive index of light ray in Kerr field using the material medium approach. The frame dragging effects in Kerr field was considered to calculate the velocity of light ray and finally the refractive index in Kerr field geometry was determined. Hence the deflection of light ray in Kerr field was calculated, assuming far field approximation and compared the results with those calculations done earlier using Null geodesics.

References in corpus (2)

• Formalism for testing theories of gravity using lensing by compact objects. III: Braneworld gravity
• A Simple Optical Analysis of Gravitational Lensing

Cited by in corpus (8)

• A review on analytical studies in Gravitational Lensing
• Gravitational deflection of relativistic massive particles by Kerr black holes and Teo wormholes viewed as a topological effect
• The effect of gravitation on the polarization state of a light ray
• Non-Equatorial Deflection of Light due to Kerr-Newman Black Hole: A Material Medium Approach
• Laser propagation in Rindler accelerated reference frame based on matrix optics
• Deflection of light due to spheroidal oblate static objects
• Rotation of Polarization Vector, in Case of Non-Inertial Rotational Frame
• Gravitational Redshift in Kerr-Newman Geometry Using Gravity's Rainbow