New classes of exact interior nonvacuum solutions to the GR field equations for spacetimes sourced by a rigidly rotating stationary cylindrical anisotropic fluid

TL;DR

This paper introduces two new classes of exact solutions to Einstein's equations for rotating cylindrical anisotropic fluids, potentially modeling astrophysical objects, with detailed analysis of their properties and parameters.

Contribution

The paper presents novel exact interior solutions for rotating cylindrical anisotropic fluids, expanding the set of models available in general relativity for astrophysical applications.

Findings

Two new classes of solutions are identified and characterized.

Solutions satisfy regularity and junction conditions for astrophysical relevance.

Physical interpretation of solution parameters is provided.

Abstract

A double new class of solutions to the general relativity field equations describing interior spacetimes sourced by stationary cylindrical anisotropic fluids with principal stress directed along the symmetry axis is displayed. These solutions are required to satisfy regularity and junction conditions so that they can be possibly used to represent rotating astrophysical objects. Mathematical and physical properties are analyzed. The spacetime two independent parameters are physically interpreted, and they are shown to define two different solution classes together with stating the latters' properties.