The Light Ray Transform in Stationary and Static Lorentzian Geometries
The Light Ray Transform in Stationary and Static Lorentzian Geometries
Given a Lorentzian manifold, the light ray transform of a function is its integrals along null geodesics. This paper is concerned with the injectivity of the light ray transform on functions and tensors, up to the natural gauge for the problem. First, we study the injectivity of the light ray …