Light Bending in the Infinite Derivative Theories of Gravity

Abstract

Light bending is one of the significant predictions of general relativity (GR) and it has been confirmed with great accuracy during the last one hundred years. In this paper, we semiclassically calculate the deflection angle for the photons that just grazing the Sun in the infinite derivative theories of gravity (IDG) which is a ghost and singularity free theory of gravity. From our calculations, we find that the deflection angle $\theta$ only depends on $\Lambda /E$. $\theta \to {\theta }_E$ when $\Lambda /E\to \infty$ and decrease to zero when $\Lambda /E\to 0$. The transition interval occurs at $10^4<E/\Lambda <10^7$. It should be pointed out that this model can be tested by the Chandra X-ray Observatory if $0.01eV<\Lambda <0.1eV$.

4 pages, 2 figures, 1 table

References in corpus (5)

• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Progress in Measurements of the Gravitational Bending of Radio Waves Using the VLBA
• Behavior of the Newtonian potential for ghost-free gravity and singularity-free gravity
• Ghost and singularity free theories of gravity
• Classical and tree-level approaches to gravitational deflection in higher-derivative gravity

Cited by in corpus (10)

• Constraints on Spatially Oscillating Sub-mm Forces from the Stanford Levitated Microsphere Experiment Data
• Determination of Angle of Light Deflection in Higher-Derivative Gravity Theories
• Determination of Bending Angle of Light Deflection Subject to Possible Weak and Strong Quantum Gravity Effects
• Newtonian Potential and Geodesic Completeness in Infinite Derivative Gravity
• Revealing Infinite Derivative Gravity's true potential: The weak-field limit around de Sitter backgrounds
• Conditions for defocusing around more general metrics in Infinite Derivative Gravity
• Criteria for resolving the cosmological singularity in Infinite Derivative Gravity around expanding backgrounds
• Smearing out contact terms in ghost-free infinite derivative quantum gravity
• The Borel transform and linear nonlocal equations: applications to zeta-nonlocal field models
• The Energy Dependence of Micro Black Hole Horizon in Quantum Gravity Theory