The gravitational light shift and the Sachs-Wolfe effect

Details The gravitational light shift and the Sachs-Wolfe effect The gravitational light shift and the Sachs-Wolfe effect

2011-05-03

arxiv.org/abs/1105.0459v1

Gen.Rel.Grav.43:2701-2712,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages; accepted for publication in General Relativity and Gravitation

Scientific paper

10.1007/s10714-011-1193-7

Using a 3+1 decomposition of spacetime, we derive a new formula to compute the gravitational light shifts as measured by two observers which are normal to the spacelike hypersurfaces defining the foliation. This formula is quite general and is also independent of the existence of Killing fields. Known examples are considered to illustrate the usefulness of the formula. In particular, we focus on the Sachs-Wolfe effect that arises in a perturbed Friedman-Robertson-Walker cosmology.

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