Derivation from Schwarzschild-de Sitter null geodesics recovers the standard time-delay split as the leading small-angle term, with the first correction intrinsic to the Schwarzschild metric and adding no new cosmological dependence.
On the effect of the cosmological expansion on the gravitational lensing by a point mass
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We analyze the effect of the cosmological expansion on the deflection of light caused by a point mass, adopting the McVittie metric as the geometrical description of a pointlike lens embedded in an expanding universe. In the case of a generic, non-constant Hubble parameter $H$ we derive and approximately solve the null geodesic equations, finding an expression for the bending angle $\delta$, which we expand in powers of the mass-to-closest approach distance ratio and of the impact parameter-to-lens distance ratio. It turns out that the leading order of the aforementioned expansion is the same as the one calculated for the Schawarzschild metric and that cosmological corrections contribute to $\delta$ only at sub-dominant orders. We explicitly calculate these cosmological corrections for the case of $H$ constant and find that they provide a correction of order $10^{-11}$ on the lens mass estimate.
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
background 1representative citing papers
EHT observations of Sgr A* constrain deviations from GR black hole solutions including regular BHs, string-inspired spacetimes, and BH mimickers, with some limits exceeding cosmological bounds.
citing papers explorer
-
Gravitational lensing time delay beyond the Shapiro/geometry split
Derivation from Schwarzschild-de Sitter null geodesics recovers the standard time-delay split as the leading small-angle term, with the first correction intrinsic to the Schwarzschild metric and adding no new cosmological dependence.
-
Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$
EHT observations of Sgr A* constrain deviations from GR black hole solutions including regular BHs, string-inspired spacetimes, and BH mimickers, with some limits exceeding cosmological bounds.