Gauge-invariant variations in the redshift and cosmic background radiation anisotropies

Details Gauge-invariant variations in the redshift and cosmic background radiation anisotropies Gauge-invariant variations in the redshift and cosmic background radiation anisotropies

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991gregr..23.1169s&link_type=abstract

General Relativity and Gravitation, Volume 23, Issue 10, pp.1169-1194

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15

Scientific paper

The gauge-invariance of the calculations determining anisotropics in the cosmic microwave background radiation (the Sachs-Wolfe effect) is re-examined. It is shown that the results obtained are gauge-invariant only if a physically-based definition of the surface of last scattering is implemented, in a context where perturbations of the surface of last scattering as well as of the space-time are taken into account. Any physical interpretation of the results based on their splitting into ‘scalar’, ‘vector’, and ‘tensor’ parts, is unique only if non-local (unverifiable) conditions are imposed; locally, any such interpretation is non-unique. The physical meaning of the Sachs-Wolfe potentialB and associated redshift formula depends on implementing a very specific gauge, without a clear physical or geometric meaning; its implications do not extend to other, more usual, gauges.

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