Energy exchange between relativistic fluids: the polytropic case

TL;DR

This paper introduces an analytic method to analyze how polytropic fluids influence other gravitational sources in static, spherically symmetric spacetimes, with applications to stellar models.

Contribution

It provides a novel, straightforward approach to study the effects of polytropic fluids on various gravitational systems, applicable to static and spherically symmetric scenarios.

Findings

Method effectively elucidates fluid interactions in gravitational systems

Applicable to diverse gravitational sources in static, spherical symmetry

Enhances understanding of stellar interior dynamics

Abstract

We present a simple, analytic and straightforward method to elucidate the effects produced by polytropic fluids on any other gravitational source, no matter its nature, for static and spherically symmetric spacetimes. As a direct application, we study the interaction between polytropes and perfect fluids coexisting inside a self-gravitating stellar object