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Astron. Astrophys. 321, 8-9 (1997)

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The Sachs-Wolfe effect

Martin White 1 and Wayne Hu 2

1 Enrico Fermi Institute, University of Chicago, 5640 S. Ellis Ave., Chicago, IL 60637, USA
2 Institute for Advanced Study, Princeton NJ 08540, USA

Received 19 September 1996 / Accepted 18 October 1996


We present a pedagogical derivation of the Sachs-Wolfe effect, specifically the factor [FORMULA] relating the temperature fluctuations to gravitational potentials. The result arises from a cancellation between gravitational redshifts and intrinsic temperature fluctuations which can be derived from a coordinate transformation of the background.

Key words: cosmic microwave background – cosmology: theory

© European Southern Observatory (ESO) 1997

Online publication: June 30, 1998