Multipole structure of Kerr spacetime: a proposal for applications in geodesy

Document Type : Original Article


University of Tehran



The multipole structure of the Kerr spacetime is investigated. We try to identify a probable multipole structure that is compatible with the Newtonian limit, i.e. having all mass multipole moments in the metric. This is crucially important in the pursuit of finding a suitable metric to simulate the gravitational field of the Earth. The presence of all arbitrary mass multipole moments, along with at least one angular moment in the corresponding Ernst potential of the spacetime metric, will eventually be ended up with finding an exact solution to Einstein’s field equations that matches the current precise observational satellite data.