Optical appearance of Einstein-Æther black hole surrounded by thin disk

In Einstein-Æther theory, the Lorentz symmetry is locally broken in high-energy regime due to presence of Æther field. This shall leave significant imprint on astronomical observation. this paper, we investigate optical appearance two types static and spherically symmetric black holes theory. Via Euler-Lagrange equation, obtain equations motion photon calculate total deflection angle trajectory around hole. By classifying light rays with number orbits, study effects coupling constants direct image, lensing ring, ring. The features trajectories are also investigated by comparing theory general relativity. Moreover, show explicit surrounded thin disk emissions three characteristic emitted models. results indicate that image gives main contribution flux, ring just a very small contribution, whereas role negligible. appearances found significantly rely these constants.