Gravitational angular fluctuations of the cosmic background radiation produced by cosmological linear perturbations

Kenji Tomita

doi:10.1103/PhysRevD.40.3821

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Gravitational angular fluctuations of the cosmic background radiation produced by cosmological linear perturbations

Kenji Tomita

Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725, Japan

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Phys. Rev. D 40, 3821 – Published 15 December, 1989

DOI: https://doi.org/10.1103/PhysRevD.40.3821

Abstract

The gravitational angular fluctuations of light rays produced by linear density perturbations are investigated in the Einstein-de Sitter model. It is found that, owing to the random-walk process aroused by the perturbations, the mean-square angular fluctuations of individual light rays and the mean-square relative angular fluctuations of two neighboring rays increase as they propagate. Their behavior is shown in cases when the index $n$ of the initial spectrum of density perturbations is equal to 1, 0, and -1.

References (12)

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R. D. Davies, N. N. Lasenby, R. A. Watson, E. J. Daintree, J. Hopkins, J. Beckman, J. Sanchez-Almedia, and R. Rebolo, Nature (London) 326, 462 (1987)
Y. Suto, K. Gorski, R. Juszkiewicz, and J. Silk, Nature (London) 332, 328 (1988) N. Gouda, M. Sasaki, and Y. Suto, Astrophys. J. 321, L1 (1987)
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K. Tomita, Publ. Astron. Soc. Japan 40, 751 (1988)
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[c1] A. C. S. Readhead, C. R. Lawrence, S. T. Myers, and W. L. W. Sargent, in Proceedings of the IAU Symposium 130 on Evolution of Large-Scale Structures in the Universe, Balatonfüred, Hungary, 1987, edited by J. Audouze and A. Szalay (Dordrecht, Reidel, 1988)

[c2] R. D. Davies, N. N. Lasenby, R. A. Watson, E. J. Daintree, J. Hopkins, J. Beckman, J. Sanchez-Almedia, and R. Rebolo, Nature (London) 326, 462 (1987)

[c3] Y. Suto, K. Gorski, R. Juszkiewicz, and J. Silk, Nature (London) 332, 328 (1988) N. Gouda, M. Sasaki, and Y. Suto, Astrophys. J. 321, L1 (1987)

[c4] A. Kashlinsky, Astrophys. J. 331, L1 (1988)

[c5] K. Tomita, Publ. Astron. Soc. Japan 40, 751 (1988)

[c6] B. Tolman, J. M. Centrella, and R. A. Matzner, report, 1988 (unpublished)

[c7] R. K. Sachs and A. Wolfe, Astrophys. J. 147, 73 (1967)

[c8] A. M. Anile and S. Motta, Astrophys. J. 207, 685 (1976) R. Fabbri, I. Guidi, and V. Natale, ibid. 257, 17 (1982) K. Tomita and K. Tanabe, Prog. Theor. Phys. 69, 828 (1983) L. F. Abbott and M. B. Wise, Astrophys. J. 282, L47 (1984) L. F. Abbott and R. K. Schaefer, ibid. 308, 546 (1986) M. Panek, Phys. Rev. D 34, 416 (1986)

[c9] M. Sasaki, Mon. Not. R. Astron. Soc. 228, 653 (1987)

[c10] J. M. Bardeen, Phys. Rev. D 22, 1882 (1980)

[c11] H. Kodama and M. Sasaki, Prog. Theor. Phys. Suppl. 78, 1 (1984)

[c12] R. K. Sachs, Proc. R. Soc. London A264, 309 (1961)

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Gravitational angular fluctuations of the cosmic background radiation produced by cosmological linear perturbations

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