Carter Constant and Angular Momentum

TL;DR

This paper explores the Carter-like constant in a non-relativistic dipolar field to bridge the understanding of angular momentum between Newtonian mechanics and relativistic spacetime, specifically Kerr solutions.

Contribution

It introduces a Carter-like constant in a Newtonian dipolar field, linking classical and relativistic angular momentum concepts.

Findings

Defined a Carter-like constant in a non-relativistic dipolar field

Connected Newtonian angular momentum with relativistic stationary axially symmetric spacetime

Provided a framework for translating classical angular momentum to relativistic contexts

Abstract

We investigate the carter like constant for a particle in a non relativistic dipolar field. This special case is a missing link between carter constant in stationary axially symmetric spacetime such as Kerr solution and its possible Newtonian counterpart. We use this system to carry over the definition of angular momentum from Newtonian mechanics to relativistic stationary axially symmetric stationary spacetime.