Holographic Einstein rings of a Gauss-Bonnet AdS black hole

Abstract

Based on the AdS/CFT correspondence, we studied the holographic Einstein images of a Gauss-Bonnet AdS black hole in the bulk from a given response function on AdS boundary. For the absolute amplitude of total response function, it shows that there always exists the interference pattern as the scalar wave passed through the black hole. And, the absolute amplitude depends closely on the properties of Gaussian source and spacetime geometry. More importantly, we also find that the holographic images always appears as a ring with the concentric stripe surrounded when the observer located at the north pole. At other positions, this ring will change into a luminosity-deformed ring, or two light points. In addition, the effects of Gauss-Bonnet parameter $\alpha$, wave source and optical system on the holographic images have been carefully addressed throughout of paper. Finally, we conclude that the holographic images in different types of black holes with some different features may shed some deep insight on the existence of a gravity dual for a given material.