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Third-order perturbative solutions in Lagrangian perturbation theory with pressure. II. Effect of the transverse modes

Takayuki Tatekawa*

  • Department of Physics, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo 169-8555, Japan
  • Advanced Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo 169-8555, Japan
  • Department of Physics, Ochanomizu University, 2-1-1 Otsuka, Bunkyo, Tokyo 112-8610, Japan

  • *Electronic address: tatekawa@gravity.phys.waseda.ac.jp
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Phys. Rev. D 72, 024005 – Published 7 July, 2005

DOI: https://doi.org/10.1103/PhysRevD.72.024005

Abstract

Lagrangian perturbation theory for cosmological fluid describes structure formation in the quasinonlinear stage well. In a previous paper, we presented a third-order perturbative equation for Lagrangian perturbation with pressure. There we considered only the longitudinal modes for the first-order perturbation. In this paper, we generalize the perturbation, i.e., we consider both the longitudinal and the transverse modes for the first-order perturbation. Then we derive third-order perturbative equations and solutions.

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References (30)

  1. Ya. B. Zel’dovich, Astron. Astrophys. 5, 84 (1970).
  2. V. I. Arnol’d, S. F. Shandarin, and Ya. B. Zel’dovich, Geophys. Astrophys. Fluid Dyn. 20, 111 (1982).
  3. S. F. Shandarin and Ya. B. Zel’dovich, Rev. Mod. Phys. 61, 185 (1989).
  4. T. Buchert, Astron. Astrophys. 223, 9 (1989).
  5. P. Coles and F. Lucchin, Cosmology: The Origin and Evolution of Cosmic Structure (John Wiley & Sons, Chichester, 1995).
  6. V. Sahni and P. Coles, Phys. Rep. 262, 1 (1995).
  7. B. J. Jones, V. J. Martínez, E. Saar, and V. Trimble, Rev. Mod. Phys. 76, 1211 (2004).
  8. T. Tatekawa, astro-ph/0412025.
  9. T. Padmanabhan, gr-qc/0503107.
  10. D. Munshi, V. Sahni, and A. A. Starobinsky, Astrophys. J. 436, 517 (1994).
  11. V. Sahni and S. F. Shandarin, Mon. Not. R. Astron. Soc. 282, 641 (1996).
  12. A. Yoshisato, T. Matsubara, and M. Morikawa, Astrophys. J. 498, 48 (1998).
  13. J. D. Barrow and P. Saich, Classical Quantum Gravity 10, 79 (1993).
  14. F. R. Bouchet, R. Juszkiewicz, S. Colombi, and R. Pellat, Astrophys. J. 394, L5 (1992).
  15. F. R. Bouchet, S. Colombi, E. Hivon, and R. Juszkiewicz, Astron. Astrophys. 296, 575 (1995).
  16. T. Buchert, Mon. Not. R. Astron. Soc. 254, 729 (1992).
  17. T. Buchert and J. Ehlers, Mon. Not. R. Astron. Soc. 264, 375 (1993).
  18. T. Buchert, Mon. Not. R. Astron. Soc. 267, 811 (1994).
  19. P. Catelan, Mon. Not. R. Astron. Soc. 276, 115 (1995).
  20. M. Sasaki and M. Kasai, Prog. Theor. Phys. 99, 585 (1998).
  21. T. Buchert and A. Domínguez, Astron. Astrophys. 335, 395 (1998).
  22. T. Buchert and A. Domínguez, astro-ph/0502318.
  23. T. Tatekawa, Phys. Rev. D 71, 044024 (2005).
  24. S. Adler and T. Buchert, Astron. Astrophys. 343, 317 (1999).
  25. M. Morita and T. Tatekawa , Mon. Not. R. Astron. Soc. 328, 815 (2001).
  26. T. Tatekawa, M. Suda, K. Maeda, M. Morita, and H. Anzai, Phys. Rev. D 66, 064014 (2002).
  27. S. Weinberg, Gravitation and Cosmology (John Wiley & Sons, Chichester, 1972).
  28. T. Tatekawa, Phys. Rev. D 70, 064010 (2004).
  29. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77: The Art of Scientific Computing (Cambridge University Press, Cambridge, 1992), Sec. 7.6.
  30. J. P. Ostriker and P. Steinhardt, Science 300, 1909 (2003).

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Phys. Rev. D 72, 024005– Published 7 July, 2005
  • Received 18 April 2005

© 2005 American Physical Society

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