On the influence of the cosmological constant on gravitational lensing in small systems

Abstract

The cosmological constant Lambda affects gravitational lensing phenomena. The contribution of Lambda to the observable angular positions of multiple images and to their amplification and time delay is here computed through a study in the weak deflection limit of the equations of motion in the Schwarzschild-de Sitter metric. Due to Lambda the unresolved images are slightly demagnified, the radius of the Einstein ring decreases and the time delay increases. The effect is however negligible for near lenses. In the case of null cosmological constant, we provide some updated results on lensing by a Schwarzschild black hole.

arXiv comment8 pages, 1 figure; v2: extended discussion on the lens equation, references added, results unchanged, in press on PRD

References in corpus (22)

• The Cosmological Constant and Dark Energy
• Schwarzschild black hole lensing
• SINFONI in the Galactic Center: young stars and IR flares in the central light month
• On the exact gravitational lens equation in spherically symmetric and static spacetimes
• Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. I: Static, Spherically Symmetric Case
• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• Light Propagation in Arbitrary Spacetimes and the Gravitational Lens Approximation
• Standard Clocks, Orbital Precession and the Cosmological Constant
• Scales Set by the Cosmological Constant
• Solar and stellar system tests of the cosmological constant
• Frame dragging and bending of Light in Kerr and Kerr-(anti) de Sitter spacetimes
• Analytical Kerr black hole lensing in the weak deflection limit
• Weak field limit of Reissner-Nordstrom black hole lensing
• Two-body problem with the cosmological constant and observational constraints
• Microlensing search towards M31
• Evolution of gravitational orbits in the expanding universe
• The quiescent Hubble flow, local dark energy tests, and pairwise velocity dispersion in a $\Omega =1$ universe
• The weakly perturbed Schwarzschild lens in the strong deflection limit
• Can Solar System observations tell us something about the cosmological constant?
• Has Dark Energy really been discovered in the Lab?
• Equilibrium of large astrophysical structures in the Newton-Hooke spacetime
• Dark Energy and the mass of galaxy clusters

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• Kerr-Newman-AdS Black Hole In Quintessential Dark Energy
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• Rigorous Approach to the Gravitational Lensing
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• Lambda does not Lens: Deflection of Light in the Schwarzschild-de Sitter Spacetime
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• Scalar-tensor propagation of light in the inner solar system at the millimetric level
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• Time Delay in Swiss Cheese Gravitational Lensing
• Analytical Kerr-Sen Dilaton-Axion Black Hole Lensing in the Weak Deflection Limit
• Effect of power-law Maxwell field to the gravitational lensing
• Exploring light deflection and black hole shadows in Rastall theory with plasma effects
• Light bending by the cosmological constant
• Cosmological applications of the Brown-York quasilocal mass
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• Massless Dirac Perturbations of black holes in f(Q) gravity: quasinormal modes and weak deflection angle
• Gravitomagnetic effects in Kerr-de Sitter space-time
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• The influence of cosmological constant on light deflection in rotating spacetimes via the generalized Gibbons-Werner method