Gravitational Lensing Effect from The Revised Deser-Woodard Nonlocal Gravity

Abstract

We investigate the gravitational lensing effects of a static spherically symmetric black hole (BH) within the framework of the revised Deser-Woodard (D-W) nonlocal gravity. By analyzing the deflection angle in both the weak and strong field limits, we derive several distinguishing features of the model. In the weak field limit, we report a leading-order correction to the deflection angle directly attributed to the non-local nature of the theory. In the strong field limit, we find that the lensing corrections are almost linearly dependent on the coupling parameter $\zeta$ while being exponentially suppressed by the exponent parameter $n$. Furthermore, the gravitational lensing effect in the revised D-W model at a given time shares similar scale-invariant behavior to General Relativity and conformal gravity, offering a potential pathway to distinguish it from other alternatives using astronomical observations.

8 pages, 3 figures

References in corpus (29)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Cosmological Constant and Dark Energy
• Cosmological Constant - the Weight of the Vacuum
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Dark Energy and the Accelerating Universe
• Schwarzschild black hole lensing
• Gravitational lensing in the strong field limit
• Relativistic images of Schwarzschild black hole lensing
• Nonlocal Cosmology
• Aspects of the cosmological "coincidence problem"
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Holographic dark energy from nonadditive entropy: cosmological perturbations and observational constraints
• Light-like Scattering in Quantum Gravity
• Testable anthropic predictions for dark energy
• Healing the cosmological constant problem during inflation through a unified quasi-quintessence matter field
• Gravitational lensing by Reissner-Nordström black holes with topological defects
• Nonlocal Cosmology II --- Cosmic acceleration without fine tuning or dark energy
• Gravitational lensing effect of black holes in effective quantum gravity
• Kerr-de Sitter and Kerr-anti-de Sitter black holes as accelerators for spinning particles
• Maximal efficiency of the collisional Penrose process with spinning particles in Kerr-Sen black hole
• Connections between the shadow radius and the quasinormal modes of Kerr-Sen black hole
• Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing
• Gravitational lensing and accretion disk imaging of a Buchdahl dense core
• Gravitational perturbations of nonlocal black holes
• Deflection angle in the strong deflection limit: A perspective from local geometrical invariants and matter distributions
• Particle Deflections around Microscopic Loop Quantum Black Holes with Rigorous Quantum Parameters
• Black holes and wormholes in Deser-Woodard gravity
• Deflection of Massive Spin-$\frac{1}{2}$ Particles around Kerr Black Hole