Holographic Einstein ring in asymptotically safe gravity

Abstract To address the non-renormalizability issue of general relativity in the realm of quantum gravity, Weinberg first proposed the theory of asymptotically safe gravity. Based on AdS/CFT duality, we investigate holographic Einstein rings from a quantum-corrected Schwarzschild spacetime in asymptotically safe gravity. By introducing a Gaussian wave and computing its response function, combined with a virtual convex lens optical system, we have successfully constructed a holographic image of Einstein ring. The study reveals that the observer’s position, horizon temperature, wave source frequency, and asymptotically safe gravity parameter significantly influence the shape and brightness of holographic Einstein ring. Notably, variations of observer’s position cause the ring image to gradually distort and even shrink into a unilateral bright spot. Unlike in Einstein gravity, the asymptotically safe gravity parameter in modified gravity can significantly alter the ring’s brightness. Furthermore, the results demonstrate consistency between wave optics and geometric optics, reinforcing the validity of the holographic principle in asymptotically safe gravity. This work provides new insights into optical behaviors in black hole gravitational fields and highlights the potential of holographic methods in gravitational physics research.