Relativistic Static Thin Disks with Radial Stress Suport

TL;DR

This paper introduces a new method using conformal transformations to generate static, finite-radius thin disk solutions with nonzero radial stress, including pressure or tension, expanding the modeling capabilities of such astrophysical structures.

Contribution

It presents a novel approach to constructing static thin disk solutions with radial stress using conformal transformations, which was not previously available.

Findings

New solutions for static thin disks with radial stress

Method to incorporate radial pressure or tension

Enhanced modeling of astrophysical disk structures

Abstract

New solutions for static non-rotating thin disks of finite radius with nonzero radial stress are studied. A method to introduce either radial pressure or radial tension is presented. The method is based on the use of conformal transformations.