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On lensing by a cosmological constant · Around

2008

On lensing by a cosmological constant

Simpson, Fergus, Peacock, John A., Heavens, Alan F.

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Several recent papers have suggested that the cosmological constant Lambda directly influences the gravitational deflection of light.

We place this problem in a cosmological context, deriving an expression for the linear potentials which control the cosmological bending of light, finding that it has no explicit dependence on the cosmological constant.
To explore the physical origins of the apparent Lambda-dependent potential that appears in the static Kottler metric, we highlight the two classical effects which lead to the aberration of light.
The first relates to the observer's motion relative to the source, and encapsulates the familiar concept of angular-diameter distance.

Built on

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A. W. Kerr, J. C. Hauck, and B. Mashhoon, Classical and Quantum Gravity 20
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V. Mukhanov, Physical foundations of cosmology (Physical foundations of cosmology, by V. Mukhanov. Cambridge, UK: Cambridge University Press, 2005, 2005)
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F. Finelli, M. Galaverni, and A. Gruppuso, ArXiv Astrophysics e-prints (2006), eprint astro-ph/0601044
2006
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