Testing the Einstein-AEther gravity: particle dynamics and gravitational lensing

The optical and energetic properties of the black hole (BH) in the Einstein-AEther gravity are investigated. In the first part of the paper, the motion of massive and massless particles including effective potential is studied under the influence of parameters of Einstein-AEther gravity. We have obtained the horizon structure, photon orbits and Innermost Stable Circular Orbit (ISCO) radius of mass particles around the BH in Einstein-AEther theory. It is shown that with the increase in the AEther parameter c(14), the orbits approach the central compact object, while the effect of the AEther parameter c(13) is opposite and moves the ISCO outwards. In the second part, gravitational weak lensing is studied in more detail using the general method and the deflection angle of light rays around the black hole in plasma environment is derived. The magnification of image brightness is obtained using the angle of deflection of the light rays. Finally, we explored energy extracted from BH in Einstein-AEther gravity using the BSW (Banados-Silk-West) effect we have got expression of centre mass energy.

Automated summary

The optical and energetic properties of black holes in Einstein-AEther gravity are investigated in this paper. The motion and effective potential of massive and massless particles under the influence of Einstein-AEther gravity parameters are studied. The horizon structure, photon orbits, and Innermost Stable Circular Orbit (ISCO) radius of mass particles around the black hole are obtained. Gravitational weak lensing and the deflection angle of light rays in a plasma environment are also examined. The energy extraction from black holes in Einstein-AEther gravity is explored using the BSW effect, and the expression for the center mass energy is derived.