Abstract
We investigate the weak and strong deflection gravitational lensing by a quantum deformed Schwarzschild black hole and find their observables. These lensing observables are evaluated and the detectability of the quantum deformation is assessed, after assuming the supermassive black holes Sgr A* and M87* respectively in the Galactic Center and at the center of M87 as the lenses. We also intensively compare these findings with those of a renormalization group improved Schwarzschild black hole and an asymptotically safe black hole. We find that, among these black holes, it is most likely to test the quantum deformed Schwarzschild black hole via its weak deflection lensing observables in the foreseen future.
Highlights
Einstein’s general relativity (GR) has been tested and verified in many experiments [1], it is commonly believed that GR is incomplete
Inspired by these previous works and hoping to gain a whole picture of the weak and strong deflection gravitational lensing [118,119,120,121,122,123,124], we will investigate these two scenarios of gravitational lensing by the quantum deformed Schwarzschild black hole for detecting and searching its quantum signatures
Which will be adopted in the following investigation on the weak and strong deflection gravitational lensing by the quantum deformed Schwarzschild black hole
Summary
Einstein’s general relativity (GR) has been tested and verified in many experiments [1], it is commonly believed that GR is incomplete. In order to obtain a full understanding of the quantum effects, both weak and strong deflection gravitational lensing have been studied for some black holes in the asymptotically safe gravity [113,114], in the loop quantum gravity [115], under the Extended Uncertainty Principle [116] and in the rainbow gravity [117] Inspired by these previous works and hoping to gain a whole picture of the weak and strong deflection gravitational lensing [118,119,120,121,122,123,124], we will investigate these two scenarios of gravitational lensing by the quantum deformed Schwarzschild black hole for detecting and searching its quantum signatures.
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