Role ofΛin the Cosmological Lens Equation

2008/07/31 by M. Sereno · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Physics #Solar and Space Plasma Dynamics #astro-ph #gr-qc

paper · pdf · doi:10.1103/physrevlett.102.021301

published as Phys.Rev.Lett.102:021301,2009 · 4 pages. (Univ. Zuerich); v2: presentation improved, discussion extended, references to papers posted after the v1-version added. In press on Phys. Rev. Lett

arxiv created 2008/10/30 · openalex publication_date 2009/01/14 · arxiv updated 2009/12/01 · openalex created_date 2016/08/23 · openalex updated_date 2026/08/05

Abstract

The cosmological constant \ensuremathΛ affects cosmological gravitational lensing. Effects due to \ensuremathΛ can be studied in the framework of the Schwarzschild--de Sitter spacetime. Two novel contributions, which cannot be accounted for by a proper use of angular diameter distances, are derived. First, a term \ensuremathδ\stackrel^\ensuremathα_\ensuremathΛ=2mb\ensuremathΛ/3 has to be added to the bending angle, where m is the lens mass and b the impact parameter. Second, \ensuremathΛ brings about a difference in the redshifts of multiple images. Both effects are quite small for real astrophysical systems, \ensuremathδ\stackrel^\ensuremathα_\ensuremathΛ\ensuremath\lesssim1\ensuremathμarcsec and \ensuremathΔz_s\ensuremath\lesssim10^\ensuremath-7.

Citations

• Influence of the cosmological constant on gravitational lensing in small systems
• Light propagation in arbitrary spacetimes and the gravitational lens approximation
• Standard clocks, orbital precession and the cosmological constant
• Distances in inhomogeneous quintessence cosmology
• Formalism for testing theories of gravity using lensing by compact objects: Static, spherically symmetric case
• The cosmological constant and dark energy
• Primary caustics and critical points behind a Kerr black hole
• Analytical Kerr black hole lensing in the weak deflection limit
• CAN SOLAR SYSTEM OBSERVATIONS TELL US SOMETHING ABOUT THE COSMOLOGICAL CONSTANT?

Cited by

• On lensing by a cosmological constant