Beyond lensing by the cosmological constant

Abstract

The long-standing problem of whether the cosmological constant affects directly the deflection of light caused by a gravitational lens is reconsidered. We use a new approach based on the Hawking quasilocal mass of a sphere grazed by light rays and on its splitting into local and cosmological parts. Previous literature restricted to the cosmological constant is extended to any form of dark energy accelerating the universe in which the gravitational lens is embedded.

4 pages. Added some discussion and a few references, matches version accepted in Phys. Rev. D

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Cited by in corpus (25)

• Calculating black hole shadows: Review of analytical studies
• Shadow of a black hole at cosmological distance
• Black hole shadow as a standard ruler in cosmology
• Geometrization of light bending and its application to SdSw spacetime
• Palatini $f(R)$ gravity in the solar system: post-Newtonian equations of motion and complete PPN parameters
• First analytical calculation of black hole shadow in McVittie metric
• Direct Probe of Dark Energy through Gravitational Lensing Effect
• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• Black holes in dRGT massive gravity with the signature of EHT observations of M87*
• Black hole shadow with a cosmological constant for cosmological observers
• Critical behavior of charged AdS black holes surrounded by quintessence via an alternative phase space
• Signatures of the accelerating black holes with a cosmological constant from the ${\text{Sgr A}}^{\star }$ and ${\text{M87}}^{\star }$ shadow prospects
• Linearized modified gravity theories with a cosmological term: advance of perihelion and deflection of light
• Optical features of AdS black holes in the novel 4D Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics
• On the effect of the cosmological expansion on the gravitational lensing by a point mass
• Post-Newtonian $\gamma$-like parameters and the gravitational slip in scalar-tensor and $f(R)$ theories
• Cosmological applications of the Brown-York quasilocal mass
• Light bending, static dark energy and related uniqueness of Schwarzschild-de Sitter spacetime
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• Turnaround radius in scalar-tensor gravity with quasilocal mass
• Limits on the Inferred Hubble Constant Bias from a Local McVittie Gravitational Field