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Republication of: Perturbations of a cosmological model and angular variations of the microwave background (By R.K. Sachs and A.M. Wolfe)

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References

  1. Sachs R.K. and Wolfe A.M. (1967). Perturbations of a cosmological model and angular variations of the microwave background. Astrophys. J. 147: 73–90

    Article  ADS  Google Scholar 

  2. Partridge R.B. (1995). 3K: The Cosmic Microwave Background Radiation. Cambridge University Press, Cambridge

    Book  Google Scholar 

  3. Jones, A.W., Lasenby, A.N.: The cosmic microwave background. http://www.relativity.livingreviews.org/Articles/lrr-1998-11/index.html

  4. Anninos, P.: Computational cosmology: from the early universe to the large scale structure. http://www.relativity.livingreviews.org/Articles/lrr-2001-2/articlesu9.html

  5. Dodelson S. (2003). Modern Cosmology. Elsevier, Amsterdam

    Google Scholar 

  6. Conklin E.K. and Bracewell R.N. (1967). Isotropy of cosmic background radiation at 10,690 MHz. Phys. Rev. Lett. 18: 614

    Article  ADS  Google Scholar 

  7. Partridge R.B. and Wilkinson D.T. (1967). Isotropy and homogeneity of the universe from measurements of the Cosmic Microwave Background. Phys. Rev. Lett. 18: 557

    Article  ADS  Google Scholar 

  8. Corey B.E. and Wilkinson D.T. (1976). A measurement of the cosmic microwave background anisotropy at 19GHz. Bull. Am. Astron. Soc. 8: 351

    ADS  Google Scholar 

  9. Rees M.J. and Sciama D.W. (1968). Large scale density inhomogeneities in the universe. Nature 217: 511–516

    Article  ADS  Google Scholar 

  10. Thorne K.S. (1967). Primordial element formation, primordial magnetic fields and the isotropy of the universe. Astrophys. J. 48: 51–68

    Article  ADS  Google Scholar 

  11. White P.C. (1973). C ∞-perturbations of a cosmological model. J. Math. Phys. 14: 831–836

    Article  ADS  Google Scholar 

  12. Perjes, Z., Vasuth, M., Czinner, V., Eriksson, D. C ∞ perturbations of FRW models with a cosmological constant. Astron. Astrophys. 431: 415–421 (2005)

    Article  MATH  ADS  Google Scholar 

  13. Afshordi, N. Loh, Y.-S. and Strauss, M.A.: Cross-Correlation of the Cosmic Microwave Background with the 2MASS Galaxy Survey: Signatures of Dark Energy, Hot Gas, and Point Sources. Phys. Rev. D69, 083524 (2004); astro-ph/0308260

  14. Lancaster, A., Genova-Santos, R., Falcon, N., Grainge, K., Gutierrez, C., Kneissl, R., Marshall, P., Pooley, G., Rebolo, R., Rubino-Martin, J.-A., Saunders, R.D.E., Waldram, E. and Watson, R.A.: Very Small Array observations of the Sunyaev-Zel’dovich effect in nearby galaxy clusters. Mon. Not. Roy. Astron. Soc. 359, 16–30 (2005); astro-ph/0405582

    Google Scholar 

  15. McEwen, J.D., Vielva, P., Hobson, M.P., Martinez-Gonzalez, E., and Lasenby, A.N.: Detection of the ISW effect and corresponding dark energy constraints. In: From dark halos to light. Proceedings of the XLIst Rencontres de Moriond, XXVIth Astrophysics Moriond Meeting. Eds. L. Tresse, S. Maurogordato and J. Trans Thanh Van (Editions Frontiers, 2006); arXiv:astro-ph/0605122v1

  16. Giannantonio, T., Crittenden, R.G., Nichol, R.C., Scranton, R., Richards, G.T., Myers, A.D., Brunner, R.J., Gray, A.G., Connolly, A.J., Schneider, D.P.: A high redshift detection of the integrated Sachs–Wolfe effect. Phys. Rev. D74, 063520 (2006); astro-ph/0607572

  17. Challinor, A.: Microwave background polarization in cosmological models. Phys. Rev. D62 (2000) 043004 (astro-ph/9911481)

  18. Challinor A. (2000). Microwave background anisotropies from gravitational waves: the 1+3 covariant approach. Class.Quant.Grav. 17: 871–889

    Article  MATH  ADS  MathSciNet  Google Scholar 

  19. Sachs R.K. and Ehlers J. (1971). Kinetic theory and cosmology. In: Chretien, M., Deser, S. and Goldstein, J (eds) Astrophysics and General Relativity Vol 2. Brandeis University Summer Institute in Theoretical Physics 1968, pp 335–378. Gordon and Breach, New York

    Google Scholar 

  20. Ehlers, J.: General relativity and kinetic theory. In: Sachs, R.K. (ed.) General Relativity and Cosmology, Proceedings of International School of Phyiscs ‘Enrico Fermi’, Course XLVII, Academic, New York (1971), p. 1

  21. Challinor A. and Lasenby A. (1998). A covariant and gauge-invariant analysis of CMB anisotropies from scalar perturbations. Phys. Rev. D58: 023001

    ADS  Google Scholar 

  22. Challinor A. and Lasenby A. (1999). Cosmic microwave background anisotropies in the CDM model: a covariant and gauge-invariant approach. Astrophys. J. 513: 1

    Article  ADS  Google Scholar 

  23. Ehlers J., Geren P. and Sachs R.K. (1968). Isotropic solutions of Einstein-Liouville equations. J. Math. Phys. 9: 1344

    Article  ADS  Google Scholar 

  24. Ellis, G.F.R., van Elst, G.F.R.: Cosmological models (Cargese Lectures 1998). In: Lachieze-Ray, M. (ed.) Theoretical and Observational Cosmology. (Kluwer, Nato Series C: Mathematical and Physical Sciences, Vol 541, 1999), 1-116. [gr-qc/9812046]

  25. Ellis, G.F.R.: Philosophy of cosmology. In: Butterfield J., Earman J. (ed) Handbook in Philosophy of Physics. Elsevier, Amsterdam (2006) http://www.arxiv.org/abs/astro-ph/0602280

  26. White M. and Hu W. (1997). The Sachs–Wolfe effect. Astron. Astrophys. 321: 8–9

    ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of California, 970 Evans Hall, # 3840, Berkeley, CA, 94720, USA

    R. K. Sachs

  2. Department of Physics, 0354 University of California, San Diego, 9500 Gilman Drive, La Jolla, CA, 92093-0354, USA

    A. M. Wolfe

  3. Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, Cape Town, 7700, South Africa

    G. Ellis

  4. Max Planck Institut für Gravitationsphysik (Albert Einstein Institute), Am Mühlenberg 1, D-14476, Golm bei Potsdam, Germany

    J. Ehlers

  5. N. Copernicus Astronomical Center, Polish Academy of Sciences, Bartycka 18, 00716, Warszawa, Poland

    A. Krasiński

Authors
  1. R. K. Sachs
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  2. A. M. Wolfe
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  3. G. Ellis
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  4. J. Ehlers
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  5. A. Krasiński
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Corresponding author

Correspondence to A. Krasiński.

Additional information

Original paper: Sachs, R.K., Wolfe, A.M.: Astrophys. J. 147, 73–90 (1967). Reprinted with the kind permission of both authors and of the American Astronomical Society.

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Sachs, R.K., Wolfe, A.M., Ellis, G. et al. Republication of: Perturbations of a cosmological model and angular variations of the microwave background (By R.K. Sachs and A.M. Wolfe). Gen Relativ Gravit 39, 1929–1961 (2007). https://doi.org/10.1007/s10714-007-0448-9

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