Gravitational Redshift Observed from a Kerr Body with Spatial Resolution on the Surface

Abstract We investigate how the rotation of celestial bodies influences the gravitational redshift of light, utilizing the Kerr metric. We refine this approach by considering rotational effects which include such phenomena as frame dragging that alters the space-time fabric around these objects. We derive an expression for gravitational redshift using the Kerr metric and analyze its variation with respect to rotation and the point of light emission, particularly, between equatorial and polar regions. Our findings, derived from simplified relativistic mechanics about angular momentum, show that gravitational redshift is significantly affected by both the object’s rotation and the position of light emission. By applying our results to celestial bodies such as the Sun and millisecond pulsars, we demonstrate that the gravitational redshift is not uniform across the surface of a rotating body, allowing us to differentiate the redshift originating from different locations on the surface. This variation provides new insights into the role of rotation in gravitational redshift.