Weak gravitational lensing of quantum perturbed lukewarm black holes and cosmological constant effect

Abstract

Aim of the paper is study weak gravitational lensing of quantum (perturbed) (QLBHL) and classical (CLBHL) Lukewarm black hole in presence of cosmological parameter Λ. We apply numerical method to evaluate deflection angle of bending light rays, images locations θ of sample source β = − π 4 , and corresponding magnifications µ. There is not obtained real values for Einstein rings locations θ E (β = 0) for CLBHL but we calculate them for QLBHL. As experimental test of our calculations, we choose mass M of 60 type of most massive observed galactic black holes as gravitational lens and study quantum matter fields effects on the angle of bending light rays in presence of the cosmological constant effects. We calculate locations of non-relativistic images and corresponding magnifications. Numerical diagrams show that the quantum matter effects cause to be reduce absolute values of the quantum deflection angle with respect to the classical ones. Sign of the quantum deflection angle is changed with respect to the classical values in presence of the cosmological constant. This means dominance of anti-gravity counterpart of the cosmological horizon on the bending light rays angle with respect to absorbing effects of local 60 type of observed most massive black holes. Variations of the image positions and magnifications are negligible by increasing dimensionless cosmological constant ǫ = 16ΛM 2 3. Deflection angle takes positive (negative) values for CLBHL (QLBHL) and they decrease very fast (slow) by increasing closest distance x 0 of bending light ray and/or dimensionless cosmological parameter for sample giant black holes 0.001 < ǫ < 0.01.

Gravitational lensing by a quantum deformed Schwarzschild black hole

“…Gravitational lensing has also been widely adopted for detecting and testing the quantum nature of spacetime. The deflection angle in the weak deflection gravitational lensing might be affected by the quantum properties of some black holes in the effective field theory [102], in the asymptotically safe gravity [103] and with the vacuum effect [104,105] so that the resulting lensing observables might be altered [106]. The shadow and other observables in the strong deflection gravitational lensing might also be inflected for some black holes in the asymptotically safe gravity [107,108], in the loop quantum gravity [109] and in the non-commutative geometry [110][111][112].…”

Weak and strong deflection gravitational lensing by a renormalization group improved Schwarzschild black hole

“…Gravitational lensing by quantum-corrected black holes has been studied. Weak deflection lensing by a quantum perturbed lukewarm black hole with a cosmological constant was investigated [66]. A lukewarm black hole belongs to a particular class of Reissner-Nordström-de Sitter solution with its electrical charge equal to its mass [67], whereas the renormalization group improved Schwarzschild black hole is neutral.…”