corner
corner
APS » Journals » Phys. Rev. D » Volume 48 » Issue 10
< Previous Article | Next Article >

Phys. Rev. D 48, 4552–4556 (1993)

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

Download: PDF (230 kB) Buy this article Export: BibTeX or EndNote (RIS)

Heinz Russ
Institut für Theoretische Astrophysik, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany

Michael H. Soffel and Chongming Xu
Institut für Theoretische Astrophysik, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany and Applied Mathematics Department, University of Cape Town, Rondebosch 7700, Cape Town, South Africa

Peter K. S. Dunsby
Applied Mathematics Department, University of Cape Town, Rondebosch 7700, Cape Town, South Africa and School of Mathematical Sciences, Queen Mary and Westfield College, University of London, Mile End Road, London E1 4NS, United Kingdom

Received 23 June 1993; published in the issue dated 15 November 1993

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. Comparisons 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.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.48.4552
DOI:
10.1103/PhysRevD.48.4552
PACS:
98.70.Vc, 98.80.Hw
 
< Previous Article | Next Article >