Covariant and gauge-invariant formulation of the Sachs-Wolfe effect

Details Covariant and gauge-invariant formulation of the Sachs-Wolfe effect Covariant and gauge-invariant formulation of the Sachs-Wolfe effect

Nov 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48.4552r&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 10, 15 November 1993, pp.4552-4556

Mathematics

Logic

11

Background Radiations

Scientific paper

% We derive a formula relating the large-scale temperature anisotropy of the cosmic microwave background radiation with the cosmological perturbations responsible for them using the local covariant and gauge-invariant formalism developed by Ellis and Bruni. Comparsions of our covariant expression with previously derived Sachs-Wolfe formulas are given. Expanding our covariant variables in terms of Bardeen quantities, we derive a generalization of a result due to Panek.

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