A Newtonian analogue of Kerr black hole

Understand

A 250-year old Newtonian problem, first studied by Euler, turns out to share a lot of similarities with the most extreme astrophysical relativistic object, the Kerr black hole.

• Although the framework behind the two fields is completely different, both problems are related to gravitational fields that have quite intriguing analogies with respect to orbital motions of a test-body in them.
• The fundamental reason responsible for their extraordinary similarity is the integrability of both problems, as well as their common multipolar structure.
• In this paper we demonstrate the existence of a multitude of either qualitative, and sometimes quantitative, similarities between the two problems.