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The gravitational light shift and the Sachs-Wolfe effect

The gravitational light shift and the Sachs-Wolfe effect
The gravitational light shift and the Sachs-Wolfe effect
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.
gravitational light shift, 3+1 formalism, sachs-wolfe effect
0001-7701
2701-2712
Merlin, Cesar
9b55102d-7650-4e9f-9277-eff84ca08983
Salgado, Marcelo
a09b860c-139a-41df-a619-51922752ce1e
Merlin, Cesar
9b55102d-7650-4e9f-9277-eff84ca08983
Salgado, Marcelo
a09b860c-139a-41df-a619-51922752ce1e

Merlin, Cesar and Salgado, Marcelo (2011) The gravitational light shift and the Sachs-Wolfe effect. General Relativity and Gravitation, 43 (10), 2701-2712. (doi:10.1007/s10714-011-1193-7).

Record type: Article

Abstract

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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More information

e-pub ahead of print date: 19 May 2011
Published date: 2011
Keywords: gravitational light shift, 3+1 formalism, sachs-wolfe effect
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 204631
URI: http://eprints.soton.ac.uk/id/eprint/204631
DOI: doi:10.1007/s10714-011-1193-7
ISSN: 0001-7701
PURE UUID: aafc439e-188d-4aaa-b4e1-2c21138c0033

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Date deposited: 01 Dec 2011 11:03
Last modified: 14 Mar 2024 04:31

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Contributors

Author: Cesar Merlin
Author: Marcelo Salgado

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