Newton–Cartan Gravity
A Modern Introduction to Geometrised Newtonian Gravity
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Beschreibung
This book offers an introduction to Newton–Cartan gravity, a reformulation of Newtonian gravity in differential-geometric language, which brings it closer to General Relativity (GR) than the standard formulation. The text systematically develops Newton–Cartan gravity from its geometric foundations, and provides a detailed discussion of the classical results on its relation to both standard Newtonian gravity and GR. Furthermore, it presents a global formulation of the gauge- theoretic perspective that underlies many modern developments in this field, and briefly discusses applications in Newtonian limits of string theory. This book is designed for researchers and graduate students in gravitational physics and related disciplines, providing a clear path toward understanding current research literature.
The book is written in a rigorous mathematical style. It includes an extensive set of illustrative exercises. A solid understanding of basic differential geometry is required; familiarity with principal bundles and associated vector bundles is necessary for the gauge-theoretic part.
This book offers an introduction to Newton–Cartan gravity, a reformulation of Newtonian gravity in differential-geometric language, which brings it closer to General Relativity (GR) than the standard formulation. The text systematically develops Newton–Cartan gravity from its geometric foundations, and provides a detailed discussion of the classical results on its relation to both standard Newtonian gravity and GR. Furthermore, it presents a global formulation of the gauge- theoretic perspective that underlies many modern developments in this field, and briefly discusses applications in Newtonian limits of string theory. This book is designed for researchers and graduate students in gravitational physics and related disciplines, providing a clear path toward understanding current research literature.
The book is written in a rigorous mathematical style. It includes an extensive set of illustrative exercises. A solid understanding of basic differential geometry is required; familiarity with principal bundles and associated vector bundles is necessary for the gauge-theoretic part.
Provides a detailed introduction to Newton–Cartan gravity from a modern perspective Includes exercises to help master the subject Helps readers develop a truly geometric understanding by making full use of differential-geometric techniques
Autor*in
Philip K. Schwartz
Themen in »Newton–Cartan Gravity«
Covariant Newtonian limit of General Relativity Galilei geometry Galilei manifolds Newtonian spacetimes Trautman recovery Künzle–Ehlers recovery Bargmann group and Newtonian gravity Covariant Schrödinger equation String Newton–Cartan geometry