Scalar Field Cosmology

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 FieldMethods of Exact Solutions' ConstructionPart II: Advanced Methods of Exact Solutions' Construction:Approximated MethodsAdvanced Methods of Exact Solutions' ConstructionPart III: Cosmological Perturbations:Cosmological PerturbationsPart IV: Friedmann vs Abel Equations: A Connection:The Abel Equation and How to Derive the Unknown SuperpotentialsThe Abel Equation and the Inflationary DynamicsPart V: The Phantom Fields:Phantom Energy and Symmetric Cosmological SolutionsPhantom Multiverse: A Curious Synergy of Cosmology and Particle PhysicsPart VI: Branes:Nonsingular Solutions on the Brane and in the BulkThe Singular Brane Solutions with a Finite Scale FactorThe Exact Cosmologies on the BraneBibliographyIndex
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