Cosmic microwave background fluctuations from gravitational waves: an analytic approach

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Publication:2484208

DOI10.1016/J.AOP.2005.03.005zbMATH Open1075.83017arXivastro-ph/0412581OpenAlexW2148659656WikidataQ59769557 ScholiaQ59769557MaRDI QIDQ2484208

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Publication date: 1 August 2005

Published in: (Search for Journal in Brave)

Abstract: We develop an analytic approach to calculation of the temperature and polarisation power spectra of the cosmic microwave background due to inflationary gravitational waves. This approach complements the more precise numerical results by providing insight into the physical origins of the features in the power spectra. We explore the use of analytic approximations for the gravitational-wave evolution, making use of the WKB approach to handle the radiation-matter transition. In the process, we describe scaling relations for the temperature and polarisation power spectra. We illustrate the dependence of the amplitude, shape, and peak locations on the details of recombination, the gravitational-wave power spectrum, and the cosmological parameters, and explain the origin of the peak locations in the temperature and polarisation power spectra. The decline in power on small scales in the polarisation power spectra is discussed in terms of phase-damping. In an appendix we detail numerical techniques for integrating the gravitational-wave evolution in the presence of anisotropic stress from free-streaming neutrinos.


Full work available at URL: https://arxiv.org/abs/astro-ph/0412581



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