9789811205095 medium

Scalar Field Cosmology (eBook)

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  • 57,112 Words
  • 288 Pages

This monograph discusses cosmological inflation and provides exact and slow roll solutions. It also reviews new and advanced approaches of exact solutions construction with canonical scalar fields, including application of generating functions methods, the superpotential and many others. This book presents the reduction of the Friedmann equation to the Abel equation, which is a very useful tool in cosmology. It offers new solutions and discusses its properties.

Additionally, it touches upon the role of phantom scalar field cosmology and analyzes phantonical models. It describes brane cosmology with scalar fields, providing exact solutions construction using the superpotential method as well as Darboux transformations.

This book provides detailed calculations throughout.

Contents:
  • Part I: A Canonical Scalar Field in Cosmology:
    • Inflationary Models with a Canonical Scalar Field
    • Methods of Exact Solutions' Construction
  • Part II: Advanced Methods of Exact Solutions' Construction:
    • Approximated Methods
    • Advanced Methods of Exact Solutions' Construction
  • Part III: Cosmological Perturbations:
    • Cosmological Perturbations
  • Part IV: Friedmann vs Abel Equations: A Connection:
    • The Abel Equation and How to Derive the Unknown Superpotentials
    • The Abel Equation and the Inflationary Dynamics
  • Part V: The Phantom Fields:
    • Phantom Energy and Symmetric Cosmological Solutions
    • Phantom Multiverse: A Curious Synergy of Cosmology and Particle Physics
  • Part VI: Branes:
    • Nonsingular Solutions on the Brane and in the Bulk
    • The Singular Brane Solutions with a Finite Scale Factor
    • The Exact Cosmologies on the Brane
  • Bibliography
  • Index

Readership: Students, researchers and academics interested in astrophysics and cosmology.Cosmology;Astronomy;Astrophysics;Big Bang;Inflation;Expansion;Dark Matter;Particle Physics;Scalar Field;Phantom Fields;Branes;Slow-Roll Approximations00

This monograph discusses cosmological inflation and provides exact and slow roll solutions. It also reviews new and advanced approaches of exact solutions construction with canonical scalar fields, including application of generating functions methods, the superpotential and many others. This book presents the reduction of the Friedmann equation to the Abel equation, which is a very useful tool in cosmology. It offers new solutions and discusses its properties.

Additionally, it touches upon the role of phantom scalar field cosmology and analyzes phantonical models. It describes brane cosmology with scalar fields, providing exact solutions construction using the superpotential method as well as Darboux transformations.

This book provides detailed calculations throughout.

Contents:
  • Part I: A Canonical Scalar Field in Cosmology:
    • Inflationary Models with a Canonical Scalar Field
    • Methods of Exact Solutions' Construction
  • Part II: Advanced Methods of Exact Solutions' Construction:
    • Approximated Methods
    • Advanced Methods of Exact Solutions' Construction
  • Part III: Cosmological Perturbations:
    • Cosmological Perturbations
  • Part IV: Friedmann vs Abel Equations: A Connection:
    • The Abel Equation and How to Derive the Unknown Superpotentials
    • The Abel Equation and the Inflationary Dynamics
  • Part V: The Phantom Fields:
    • Phantom Energy and Symmetric Cosmological Solutions
    • Phantom Multiverse: A Curious Synergy of Cosmology and Particle Physics
  • Part VI: Branes:
    • Nonsingular Solutions on the Brane and in the Bulk
    • The Singular Brane Solutions with a Finite Scale Factor
    • The Exact Cosmologies on the Brane
  • Bibliography
  • Index

Readership: Students, researchers and academics interested in astrophysics and cosmology.Cosmology;Astronomy;Astrophysics;Big Bang;Inflation;Expansion;Dark Matter;Particle Physics;Scalar Field;Phantom Fields;Branes;Slow-Roll Approximations00


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Scalar Field Cosmology
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by sergei chervon, igor fomin;valerian yurov;artyom yurov

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