The Sachs-Wolfe Effect
Martin White, Wayne Hu
TL;DR
This paper provides a clear, pedagogical derivation of the Sachs-Wolfe effect, explaining how gravitational redshifts and temperature fluctuations cancel to produce observed cosmic microwave background anisotropies.
Contribution
It offers a detailed, coordinate transformation-based derivation of the Sachs-Wolfe effect, clarifying the origin of the 1/3 factor in temperature fluctuations.
Findings
Derivation of the Sachs-Wolfe effect from first principles
Explanation of the 1/3 factor relating temperature fluctuations to gravitational potentials
Insight into the cancellation between gravitational redshifts and intrinsic temperature variations
Abstract
We present a pedagogical derivation of the Sachs-Wolfe effect, specifically the factor 1/3 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.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies · Computational Physics and Python Applications