Multipole structure of compact objects

TL;DR

This paper explores the multipole structure of compact objects in general relativity, emphasizing the importance of higher multipole moments for accurately describing their gravitational and electromagnetic fields.

Contribution

It introduces an alternative approach that incorporates higher multipole moments due to the scarcity of physical interior solutions.

Findings

Higher multipoles are essential for accurate modeling of compact objects.

Exact solutions can be interpreted through their multipole moments.

The approach improves understanding of gravitational and electromagnetic fields.

Abstract

We analyze the applications of general relativity in relativistic astrophysics in order to solve the problem of describing the geometric and physical properties of the interior and exterior gravitational and electromagnetic fields of compact objects. We focus on the interpretation of exact solutions of Einstein's equations in terms of their multipole moments structure. In view of the lack of physical interior solutions, we propose an alternative approach in which higher multipoles should be taken into account.