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Covariant canonical gauge gravity

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Covariant canonical gauge gravity/ by David Vasak, Jurgen Struckmeier, Johannes Kirsch.
Author:	Vasak, David.
other author:	Struckmeier, Jurgen.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	x, 207 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Gauge fields (Physics) -
Online resource:	https://doi.org/10.1007/978-3-031-43717-5
ISBN:	9783031437175

Covariant canonical gauge gravity
Vasak, David.

Covariant canonical gauge gravity[electronic resource] /by David Vasak, Jurgen Struckmeier, Johannes Kirsch. - Cham :Springer International Publishing :2023. - x, 207 p. :ill., digital ;24 cm. - FIAS interdisciplinary science series,2522-8919. - FIAS interdisciplinary science series..

Introduction -- Relativistic Space-times -- Theorem for Scalar-valued Functions of Absolute and Relative Tensors -- Gauge Theory of Gravity -- Spinor Representation of the Gauge Theory of Gravity for Fermions -- Noether's Theorem -- A Note on Birkhoff's Theorem -- Implications to Cosmology.

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.

ISBN: 9783031437175

Standard No.: 10.1007/978-3-031-43717-5doiSubjects--Topical Terms:

580068
Gauge fields (Physics)

LC Class. No.: QC793.3.F5 / V373 2023

Dewey Class. No.: 530.1435

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505 0 $a Introduction -- Relativistic Space-times -- Theorem for Scalar-valued Functions of Absolute and Relative Tensors -- Gauge Theory of Gravity -- Spinor Representation of the Gauge Theory of Gravity for Fermions -- Noether's Theorem -- A Note on Birkhoff's Theorem -- Implications to Cosmology.
520 $a 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.
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