Lensing in an interior Kottler solution
arXiv:0903.2940 · doi:10.1007/s10714-010-0978-4
Abstract
We derive the interior Kottler solution of the incompressible fluid and show that the bending of light in this solution does depend on the cosmological constant.
The inner Kottler solution derived and used in this paper is not new. Corresponding references to Stuchlik (2000) and Boehmer (2003) are added. Also added: a numerical example and a figure. This is the version accepted by Gen. Rel. Grav. However it includes a short passage that an anonymous referee had me suppress.
References in corpus (13)
- The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
- On the influence of the cosmological constant on gravitational lensing in small systems
- The role of Lambda in the cosmological lens equation
- Eleven spherically symmetric constant density solutions with cosmological constant
- Rigorous Approach to the Gravitational Lensing
- A New Independent Limit on the Cosmological Constant/Dark Energy from the Relativistic Bending of Light by Galaxies and Clusters of Galaxies
- More on Lensing by a Cosmological Constant
- Does Cosmological Term Influence Gravitational Lensing?
- Cosmological constant and lensing
- Light-bending in Schwarzschild-de-Sitter: projective geometry of the optical metric
- Strong lensing in the Einstein-Straus solution
- Classical tests of general relativity in the Newtonian limit of Schwarzschild-de Sitter spacetime
- Spherically Symmetric Static Configurations of Uniform Density in Spacetimes with a Non-Zero Cosmological Constant
Cited by in corpus (14)
- Calculating black hole shadows: Review of analytical studies
- Shadow of a black hole at cosmological distance
- Strong Gravitational Lensing by Kiselev Black Hole
- Black hole shadow as a standard ruler in cosmology
- Null trajectories and bending of light in charged black holes with quintessence
- Deflection of light and time delay in closed Einstein-Straus solution
- Light bending, static dark energy and related uniqueness of Schwarzschild-de Sitter spacetime
- The Embedded Transparent Lens and Fermat's Least-Time Principle
- Image Properties of Embedded Lenses
- Probing dark fluids and modified gravity with gravitational lensing
- Effect of the spatial curvature on light bending and time delay in curved Einstein-Straus--de Sitter spacetime
- On a weak Gauss law in general relativity and torsion
- Deflection of light and time delay in hyperbolic Einstein-Straus--de Sitter solution
- Lensing in matched exterior and interior Kottler solutions