Possible quantum gravity effects on the gravitational deflection of light
arXiv:1007.0319 · doi:10.1103/PhysRevD.82.124009
Abstract
We investigate possible quantum gravity (QG) effects on the gravitational deflection of light. Two forms of deformation of the Schwarzschild spacetime are proposed. The first ansatz is a given Finslerian line element, it could be regarded as a weak QG effect on the Schwarzschild spacetime. Starting from this ansatz, we deduce the deflection angle of the light ray which passes a weak gravitational source. The second ansatz could be regarded as a strong QG effect on the Schwarzschild spacetime. The deflection angle of the light ray which passes a weak gravitational source is deduced in this Riemannian spacetime. This QG effect may distinguish the mixed light rays in the absence of gravitational source by a "spectroscope" (the gravitational source). The solutions of gravitational field equation in this Riemannian spacetime indicate that the QG effect could be regarded as the vacuum energy and the energy density of vacuum is related to the spacetime deformation parameter.
References in corpus (26)
- Dynamics of dark energy
- Quantum gravity and minimum length
- Lorentz invariance with an invariant energy scale
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Modern tests of Lorentz invariance
- Black Holes at the LHC
- Testable scenario for Relativity with minimum-length
- Bicrossproduct structure of -Poincare group and non-commutative geometry
- Generalized Lorentz invariance with an invariant energy scale
- Loop Quantum Gravity
- Sub-millimeter tests of the gravitational inverse-square law: A search for "large" extra dimensions
- Sub-millimeter Tests of the Gravitational Inverse-square Law
- Doubly Special Relativity
- Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
- Lectures on Loop Quantum Gravity
- Planck-scale modified dispersion relations and Finsler geometry
- Black Holes from Cosmic Rays: Probes of Extra Dimensions and New Limits on TeV-Scale Gravity
- Precision Tests of CPT Symmetry and Quantum Mechanics in the Neutral Kaon System
- Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
- Gravity-wave interferometers as probes of a low-energy effective quantum gravity
- A Realization of the Cohen-Glashow Very Special Relativity
- Snyder's Model -- de Sitter Special Relativity Duality and de Sitter Gravity
- Lorentz Invariance Violation and Symmetry in Randers--Finsler Spaces
- Catching a bullet: direct evidence for the existence of dark matter
- Introduction to Quantum-Gravity Phenomenology
- Ultra-high energy cosmic rays threshold in Randers-Finsler space
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- OPERA superluminal neutrinos and Kinematics in Finsler spacetime
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- Generalization of Rindler Potential at Cluster Scales in Randers-Finslerian Spacetime: a Possible Explanation of the Bullet Cluster 1E0657-558?
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