Mariem Magdy (Perimeter Institute for Theoretical Physics, Waterloo, Canada) – An extended representation of timelike infinity using conformal geodesics

In this talk, I will discuss ongoing work in which we use conformal geodesics to construct an extended representation of timelike infinity in Minkowski and Schwarzschild spacetimes. This construction relies on a key property of conformal geodesics: every non-null metric geodesic in an Einstein spacetime is, up to an explicit local reparametrisation, also a conformal geodesic. If time permits, I will also briefly discuss some properties of the transport equation governing scalar fields on future null infinity and particularly the asymptotic behaviour of its solutions near timelike infinity. This talk is based on work in collaboration with Juan A. Valiente-Kroon (Queen Mary University of London) and Achilleas Vasileios Koukas (Princeton University).