Gradient Expansion Approach to Nonlinear Superhorizon Perturbations

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Author(s)

Abstract

Using the gradient expansion approach, we formulate a nonlinear cosmological perturbation theory on super-horizon scales valid to O(ε^2), where ε is the expansion parameter associated with a spatial derivative. For simplicity, we focus on the case of a single perfect fluid, but we take into account not only scalar but also vector and tensor modes. We derive the general solution under the uniform-Hubble time-slicing. In doing so, we identify the scalar, vector and tensor degrees of freedom contained in the solution. We then consider the coordinate transformation to the synchronous gauge in order to compare our result with the previous result given in the literature. In particular, we find that the tensor mode is invariant to O(ε^2) under the coordinate transformation.

Journal

  • Progress of Theoretical Physics

    Progress of Theoretical Physics 117(4), 633-654, 2007-04-25

    Published for the Yukawa Institute for Theoretical Physics and the Physical Society of Japan

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Codes

  • NII Article ID (NAID)
    110006250037
  • NII NACSIS-CAT ID (NCID)
    AA00791455
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    0033068X
  • NDL Article ID
    8714129
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A468
  • Data Source
    CJP  NDL  NII-ELS 
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