Radiation-matter transition in Jordan-Brans-Dicke theory

Andrew R. Liddle; Anupam Mazumdar; John D. Barrow

doi:10.1103/PhysRevD.58.027302

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Radiation-matter transition in Jordan-Brans-Dicke theory

Andrew R. Liddle, Anupam Mazumdar, and John D. Barrow

Astronomy Centre, University of Sussex, Falmer, Brighton BN1 9QJ, United Kingdom

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Phys. Rev. D 58, 027302 – Published 25 June, 1998

DOI: https://doi.org/10.1103/PhysRevD.58.027302

Abstract

We study the transition from radiation domination to matter domination in Jordan-Brans-Dicke theory, in particular examining how the Hubble length at equality depends on the coupling parameter $ω .$ We consider the prospects for using high-accuracy microwave anisotropy and large-scale structure data to constrain $ω$ more strongly than by conventional solar system gravity experiments.

References (19)

U. Seljak and M. Zaldarriaga, Astrophys. J. 469, 1 (1996).
C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961); J. D. Barrow, in Current Topics in Astrofundamental Physics, edited by N. Sánchez and A. Zichichi (Kluwer, Dordrecht, 1998), pp. 269–308.
C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, England, 1993).
R. D. Reasenberg et al., Astrophys. J. 234, L219 (1979).
F. S. Accetta, L. M. Krauss, and P. Romanelli, Phys. Lett. B 248, 146 (1990); J. A. Casas, J. García-Bellido and M. Quirós, Mod. Phys. Lett. A 7, 447 (1992); Phys. Lett. B 278, 94 (1992); D. I. Santiago, D. Kalligas, and R. V. Wagoner, Phys. Rev. D 56, 7627 (1997).
A. Serna, R. Domingues-Tenreiro, and G. Yepes, Astrophys. J. 391, 433 (1992).
G. Jungman, M. Kamionkowski, A. Kosowsky, and D. N. Spergel, Phys. Rev. D 55, 7368 (1996); J. R. Bond, G. Efstathiou, and M. Tegmark, Mon. Not. R. Astron. Soc. 291, L33 (1997); M. Zaldarriaga, D. N. Spergel, and U. Seljak, Astrophys. J. 488, 1 (1997).
M. Tegmark, Phys. Rev. Lett. 79, 3806 (1997).
D. M. Goldberg and M. A. Strauss, Astrophys. J. 495, 29 (1998); ibid.M. Tegmark, A. Hamilton, M. Strauss, M. Vogeley, and A. Szalay,, 499, 555 (1998).
S. Weinberg, General Relativity and Cosmology (Wiley, New York, 1972).
D. J. Fixsen, E. S. Cheng, J. M. Gales, J. C. Mather, R. A. Shafer, and E. L. Wright, Astrophys. J. 473, 576 (1996).
E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Redwood City, CA, 1990).
D. Dicus et al., Phys. Rev. D 26, 2694 (1982); N. Y. Gnedin and O. Y. Gnedin, Princeton Report No. astro-ph/9712199; R. E. Lopez, S. Dodelson, A. Heckler, and M. S. Turner, Fermilab Report No. astro-ph/9803095.
H. Nariai, Prog. Theor. Phys. 42, 544 (1969); L. E. Gurevich, A. M. Finkelstein, and V. A. Ruban, Astrophys. Space Sci. 98, 101 (1973).
J. D. Barrow, Mon. Not. R. Astron. Soc. 282, 1397 (1996).
N. Sugiyama, Astrophys. J., Suppl. Ser. 100, 281 (1995).
D. J. Eisenstein and W. Hu, 1997, Princeton Report No. astro-ph/9710252.
H. Nariai, K. Tomita, and S. Kato, Prog. Theor. Phys. 37, 60 (1967).
J. D. Barrow and J. P. Mimoso, Phys. Rev. D 50, 3746 (1994); ibid.J. D. Barrow and P. Parsons, 55, 1906 (1997). The general relativistic limit of these scalar-tensor gravity theories requires ω(Φ)→∞ and $ω^{'} (Φ) ω^{- 3} \to 0$ .

[c1] U. Seljak and M. Zaldarriaga, Astrophys. J. 469, 1 (1996).

[c2] C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961); J. D. Barrow, in Current Topics in Astrofundamental Physics, edited by N. Sánchez and A. Zichichi (Kluwer, Dordrecht, 1998), pp. 269–308.

[c3] C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, England, 1993).

[c4] R. D. Reasenberg et al., Astrophys. J. 234, L219 (1979).

[c5] F. S. Accetta, L. M. Krauss, and P. Romanelli, Phys. Lett. B 248, 146 (1990); J. A. Casas, J. García-Bellido and M. Quirós, Mod. Phys. Lett. A 7, 447 (1992); Phys. Lett. B 278, 94 (1992); D. I. Santiago, D. Kalligas, and R. V. Wagoner, Phys. Rev. D 56, 7627 (1997).

[c6] A. Serna, R. Domingues-Tenreiro, and G. Yepes, Astrophys. J. 391, 433 (1992).

[c7] G. Jungman, M. Kamionkowski, A. Kosowsky, and D. N. Spergel, Phys. Rev. D 55, 7368 (1996); J. R. Bond, G. Efstathiou, and M. Tegmark, Mon. Not. R. Astron. Soc. 291, L33 (1997); M. Zaldarriaga, D. N. Spergel, and U. Seljak, Astrophys. J. 488, 1 (1997).

[c8] M. Tegmark, Phys. Rev. Lett. 79, 3806 (1997).

[c9] D. M. Goldberg and M. A. Strauss, Astrophys. J. 495, 29 (1998); ibid.M. Tegmark, A. Hamilton, M. Strauss, M. Vogeley, and A. Szalay,, 499, 555 (1998).

[c10] S. Weinberg, General Relativity and Cosmology (Wiley, New York, 1972).

[c11] D. J. Fixsen, E. S. Cheng, J. M. Gales, J. C. Mather, R. A. Shafer, and E. L. Wright, Astrophys. J. 473, 576 (1996).

[c12] E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Redwood City, CA, 1990).

[c13] D. Dicus et al., Phys. Rev. D 26, 2694 (1982); N. Y. Gnedin and O. Y. Gnedin, Princeton Report No. astro-ph/9712199; R. E. Lopez, S. Dodelson, A. Heckler, and M. S. Turner, Fermilab Report No. astro-ph/9803095.

[c14] H. Nariai, Prog. Theor. Phys. 42, 544 (1969); L. E. Gurevich, A. M. Finkelstein, and V. A. Ruban, Astrophys. Space Sci. 98, 101 (1973).

[c15] J. D. Barrow, Mon. Not. R. Astron. Soc. 282, 1397 (1996).

[c16] N. Sugiyama, Astrophys. J., Suppl. Ser. 100, 281 (1995).

[c17] D. J. Eisenstein and W. Hu, 1997, Princeton Report No. astro-ph/9710252.

[c18] H. Nariai, K. Tomita, and S. Kato, Prog. Theor. Phys. 37, 60 (1967).

[c19] J. D. Barrow and J. P. Mimoso, Phys. Rev. D 50, 3746 (1994); ibid.J. D. Barrow and P. Parsons, 55, 1906 (1997). The general relativistic limit of these scalar-tensor gravity theories requires ω(Φ)→∞ and $ω^{'} (Φ) ω^{- 3} \to 0$ .

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Radiation-matter transition in Jordan-Brans-Dicke theory

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