# Anisotropic fluid spheres in Ho\v{r}ava gravity and Einstein-\ae ther theory with a non-static \ae ther

## TL;DR

This paper derives exact analytical solutions for anisotropic fluid spheres in Hořava gravity and Einstein-aether theory with a non-static aether, exploring their properties and specific cases like constant density spheres.

## Contribution

It introduces a family of exact solutions for anisotropic fluids in these theories with a non-static aether configuration, expanding understanding of such models.

## Key findings

- Exact solutions for anisotropic fluid spheres obtained
- Analysis of solutions with Newtonian potential for constant density
- Insights into non-static aether effects in spherically symmetric spacetimes

## Abstract

In this paper we consider spherically symmetric interior spacetimes filled by anisotropic fluids in the context of Ho\v{r}ava gravity and Einstein-aether theory. We assume a specific non-static configuration of the aether vector field and show that the field equations admit a family of exact analytical solutions which can be obtained if one of the two metric coefficients is assigned. We study as an illustrative example the case in which the metric of the interior spacetime reproduces the Newtonian potential of a fluid sphere with constant density.