2017
DOI: 10.1103/physrevd.95.084015
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Light bending in 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 past 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 θ only depends on Λ/E. θ → θE when Λ/E → ∞ and decrease to zero when Λ/E → 0. The… Show more

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Cited by 21 publications
(27 citation statements)
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“…Note that such a result was first obtained in [5] in small-angle limit for the higher-derivative theory equation. Here, however, we give proofs that this result is universally true in all situations and for the equations of full generality [3][4][5]29], among other results.…”
Section: Introductionmentioning
confidence: 67%
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“…Note that such a result was first obtained in [5] in small-angle limit for the higher-derivative theory equation. Here, however, we give proofs that this result is universally true in all situations and for the equations of full generality [3][4][5]29], among other results.…”
Section: Introductionmentioning
confidence: 67%
“…In the second area we establish the dependence of the deflection angles on quantities such as the energy of an incident photon. In particular, we prove that the deflection angle in the higher-derivative gravity theory [3][4][5] and in the infinite-derivative gravity theory [29] is always smaller than the classical Einstein angle. Note that such a result was first obtained in [5] in small-angle limit for the higher-derivative theory equation.…”
Section: Introductionmentioning
confidence: 78%
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“…The gravitational entropy for the IDG action was investigated around an (A)dS metric in [19], while the form of the (A)dS propagator was given in [20]. Constraints were put on the mass scale M of IDG, either by using data on the tensorscalar ratio and spectral tilt of the Cosmic Microwave Background [21], or by looking at the deflection of light around the Sun [22].…”
Section: Introductionmentioning
confidence: 99%