Abstract
This article firstly explores ways in which consistency conditions work in non-linear General Relativity situations, and then looks at a covariant and gauge-invariant approach to Cosmic Background Radiation (‘CBR’) anisotropies — the Sachs-Wolfe (‘SW’) effect (including the so-called ‘integrated SW-effect’). In the first part we emphasize the differences between the results of the full covariant dynamic theory and (a) linearised theory in ‘almost Friedmann’ models, and (b) Newtonian gravitational theory (generalised to the cosmological context). In the second part we emphasize the clarity of cosmological perturbation theory when carried out in terms of gauge invariant and covariant variables. We point out an extra term (usually omitted) in the expression for CBR anisotropies due to adiabatic perturbations, that appears to imply a zero in the CBR anisotropy spectrum in an interesting angular region, irrespective of the detailed matter model.
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© 1998 Springer Science+Business Media Dordrecht
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Ellis, G.F.R., Dunsby, P.K.S. (1998). Covariant Analysis of Dynamics and of CBR Anisotropy. In: Sánchez, N., Zichichi, A. (eds) Current Topics in Astrofundamental Physics: Primordial Cosmology. NATO ASI Series, vol 511. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5046-0_1
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DOI: https://doi.org/10.1007/978-94-011-5046-0_1
Publisher Name: Springer, Dordrecht
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