# Static Spherically Symmetric Einstein-aether models I: Perfect fluids with a linear equation of state and scalar fields with an exponential self-interacting potential

## TL;DR

This paper analyzes static spherically symmetric Einstein-aether models with perfect fluids and scalar fields, introducing new dynamical variables to study equilibrium points, asymptotic behavior, and singularities, and presents new solutions.

## Contribution

It introduces a novel dynamical systems approach to Einstein-aether models with perfect fluids and scalar fields, exploring their qualitative behavior and solutions.

## Key findings

- Identification of equilibrium points and their stability.
- Analysis of asymptotic behavior and singularities.
- Presentation of new exact solutions.

## Abstract

We investigate the field equations in the Einstein-aether theory for static spherically symmetric spacetimes and a perfect fluid source and subsequently with the addition of a scalar field (with an exponential self-interacting potential). We introduce more appropriate dynamical variables that facilitate the study of the equilibrium points of the resulting dynamical system and, in addition, we discuss the dynamics at infinity. We study the qualitative properties of the models with a particular interest in their asymptotic behaviour and whether they admit singularities. We also present a number of new solutions.