General spherically symmetric elastic stars in Relativity

TL;DR

This paper reviews the relativistic theory of elastic stars with spherical symmetry, generalizing previous models to include elastic properties in neutron star interiors and deriving new results for spacetimes with symmetries.

Contribution

It extends existing models of elastic stars in relativity by providing a more general framework and applying it to specific cases, including new results for symmetric spacetimes.

Findings

Derived general results for spacetimes with isometries

Applied results to elastic material models in spherical symmetry

Extended previous work on relativistic elastic stars

Abstract

The relativistic theory of elasticity is reviewed within the spherically symmetric context with a view towards the modeling of star interiors possessing elastic properties such as theones expected in neutron stars. Emphasis is placed on generality in the main sections of the paper, and the results are then applied to specific examples. Along the way, a few general results for spacetimes admitting isometries are deduced, and their consequences are fully exploited in the case of spherical symmetry relating them next to the the case in which the material content of the spacetime is some elastic material. This paper extends and generalizes the pioneering work by Magli and Kijowski [1], Magli [2] and [3], and complements, in a sense, that by Karlovini and Samuelsson in their interesting series of papers [4], [5] and [6].