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Evolution and simulation of spacetime structure in quantum inflationary universe

Research Project

Project/Area Number 15540265
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionNagoya University

Principal Investigator

NAMBU Yasusada  Nagoya University, Graduate School of Science, Assoc.Prof., 大学院・理学研究科, 助教授 (40212112)

Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 2005: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2004: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2003: ¥900,000 (Direct Cost: ¥900,000)
Keywordsinflation / inhomogeneous universe / back reaction / 長波長ゆらぎ / 繰り込み群 / 宇宙論的摂動 / gradient expansion / 再加熱
Research Abstract

As a preparation to incorporate the quantum effect into spacetime structure, we investigated the gradient expansion approach which is a method to realize a model of inhomogeneous universes. This approach constructs the perturbative solution of the Einstein equation using expansion about the order of the spatial derivative. We succeeded to re-construct the lowest order solution of the gradient expansion by applying the renormalization group method to the cosmological perturbation about a Friedmann-Robertson-Walker universe. As a direct application of this result, we found that only non-adiabatic mode of fluctuation can back react a Friedmann-Robertson-Walker universe and modify its expansion law.
Then using the lowest order gradient expansion, we investigated the dynamics of preheating stage after inflation numerically. In this stage, the metric fluctuation is amplified by the parametric resonance caused by the coherent oscillation of the inflaton field. For a model with two scalar fields, we obtained the evolution of the power spectrum of fluctuations. As the considering model is essentially chaotic system, the spatial correlation of the fields is lost as the system evolves and the spatial pattern evolves to that of the White noise. We found that the evolution of the power spectrum of metric perturbation depends on the initial power index of fluctuation and non-linear effect strongly affects the small scale structure while the large scale structure of which wave length is larger that the horizon scale is not affected by the back reaction effect caused by the parametric resonance.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (6 results)

All 2006 2005

All Journal Article (6 results)

  • [Journal Article] Evolution of Non-linear Fluctuations in Preheating after Inflation2006

    • Author(s)
      南部保貞, 荒木陽平
    • Journal Title

      Class. Quantum Grav. 23

      Pages: 511-525

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Evolution of Non-linear Fluctuations in Preheating after Inflation2006

    • Author(s)
      Yasusada Nambu, Yohei Araki
    • Journal Title

      Class.Quantum Grav. 23

      Pages: 511-525

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Evolution of Non-linear Fluctuations in Preheating after Inflation2006

    • Author(s)
      南部保貞, 荒木陽平
    • Journal Title

      Class.Quantum Grav. 23

      Pages: 511-525

    • Related Report
      2005 Annual Research Report
  • [Journal Article] The separate universe and the backreaction of long wavelength fluctuations2005

    • Author(s)
      南部保貞
    • Journal Title

      Phys. Rev. D 71

      Pages: 84016-84016

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The separate universe and the backreaction of long lavelength fluctuations2005

    • Author(s)
      Yasusada Nambu
    • Journal Title

      Phys.Rev.D 71

      Pages: 84016-84016

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The separate universe and the backreaction of long wavelength fluctuations2005

    • Author(s)
      南部保貞
    • Journal Title

      Phys.Rev.D 71

      Pages: 84016-84016

    • Related Report
      2005 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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