Time delay in Swiss cheese gravitational lensing
Abstract
We compute time delays for gravitational lensing in a flat Λ dominated cold dark matter Swiss cheese universe. We assume a primary and secondary pair of light rays are deflected by a single point mass condensation described by a Kottler metric (Schwarzschild with Λ) embedded in an otherwise homogeneous cosmology. We find that the cosmological constant’s effect on the difference in arrival times is nonlinear and at most around 0.002% for a large cluster lens; however, we find differences from time delays predicted by conventional linear lensing theory that can reach ∼4% for these large lenses. The differences in predicted delay times are due to the failure of conventional lensing to incorporate the lensing mass into the mean mass density of the universe.
- Publication:
-
Physical Review D
- Pub Date:
- August 2010
- DOI:
- 10.1103/PhysRevD.82.043005
- arXiv:
- arXiv:1006.3500
- Bibcode:
- 2010PhRvD..82d3005C
- Keywords:
-
- 98.62.Sb;
- Gravitational lenses and luminous arcs;
- Astrophysics - Cosmology and Nongalactic Astrophysics;
- General Relativity and Quantum Cosmology
- E-Print:
- 10 pages, 2 figures, submitted