Thin accretion disk onto slowly rotating black holes in Einstein-æther theory

The accretion disk is formed by particles moving in closed orbits around a compact object, whose physical properties and the electromagnetic radiation characteristics are determined by the space-time geometry around the compact object. In this paper, we study the physical properties and the optical appearance of the electromagnetic radiation emitted from a thin accretion disk around the two types of the black hole solution in Einstein-/Ether theory. We investigate in detail the effects of the mother field on the energy flux, temperature distribution, and electromagnetic spectrum of the disk in the two types of slowly rotating Einstein-/Ether black holes. Then we plot the ray-traced redshifted image as well as the intensity and polarization profile of a lensed accretion disk around the two types of Einstein /Ether black holes. We found that from the image simulation, the mother field only has a certain effect on the central shadow area of the accretion disk.