Covariant Canonical Gauge Gravity
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Beschreibung
This book starts with the mathematical basis of the theory - i.e. provide a brief sketch of the theory of manifolds and frame bundles, tensors and their transformations, relativistic kinematics, and aspects of non-flat space-time geometries. The definition of relevant physical quantities (torsion, curvature, non-metricity, tetrads, connection fields etc.) and important geometry concepts are also included. The main body of the book is devoted to a detailed derivation of the gauge theory of gravitation for scalar, vector (Proca and Maxwell) and Dirac spinor fields. Alternative approaches based on the Noether theorem and on the spinorial representation of the fields are also addressed, as well as important novel features related to the CCGG framework (Birkhoff theorem, field derivative identities etc.). In the last section of the volume the application of the CCGG theory to cosmology will be set out, resulting in a new understanding of dark energy and inflation.
This book starts with the mathematical basis of the theory - i.e. provide a brief sketch of the theory of manifolds and frame bundles, tensors and their transformations, relativistic kinematics, and aspects of non-flat space-time geometries. The definition of relevant physical quantities (torsion, curvature, non-metricity, tetrads, connection fields etc.) and important geometry concepts are also included. The main body of the book is devoted to a detailed derivation of the gauge theory of gravitation for scalar, vector (Proca and Maxwell) and Dirac spinor fields. Alternative approaches based on the Noether theorem and on the spinorial representation of the fields are also addressed, as well as important novel features related to the CCGG framework (Birkhoff theorem, field derivative identities etc.). In the last section of the volume the application of the CCGG theory to cosmology will be set out, resulting in a new understanding of dark energy and inflation.
Introduces the reader to the mathematical basis of the theory Focuses on a detailed derivation of gauge theory of gravitation Leads to a new understanding of dark energy and inflation
Autor*in
David Vasak
Themen in »Covariant Canonical Gauge Gravity«
Covariant Canonical Gauge Gravitation General Relativity Torsion Contorsion Dark Energy Quantum Field Theory Dirac Spinor Fields
Stimmen zu »Covariant Canonical Gauge Gravity«
“I liked this book and found it interesting. It is not easy to write a research book that does not look like a collection of research papers. In this sense, the authors try their best. They provide a homogeneous and uniform description of the problem. Anyone interested in the CCGG will find in this book a very clear, friendly and complete description of the matter, as well as the main physical/cosmological motivations. It is definitely well worth a reading.” (Giuseppe Maria Coclite, Mathematical Reviews, June, 2025)
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