Shadow of the wormholelike static aether solution

TL;DR

This paper examines a static aether solution in Einstein-aether theory, analyzing its photon sphere and shadow, and comparing these features with Schwarzschild black holes to understand potential observational differences.

Contribution

It provides a detailed analysis of the photon sphere and shadow of a static aether solution, highlighting how they differ from Schwarzschild black holes based on the coupling constant c14.

Findings

Photon sphere size varies with c14

Shadow characteristics differ from Schwarzschild black holes

Potential observational signatures of aether effects

Abstract

Recently, an analytical solution in Einstein-aether theory was presented explicitly in isotropic coordinates. It is characterized by a mass parameter $m$ and a combined coupling constant $c_{14}$. By a coordinate transformation, we verify this solution is equivalent to the previously known static aether solution. Assuming photons couple minimally to aether and gravity, we investigate the photon sphere and shadow of the solution by varying $c_{14}$. Results are compared with those of the Schwarzschild black hole.