Newton–Cartan Gravity
A Modern Introduction to Geometrised Newtonian Gravity
Series: Lecture Notes in Physics;
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 11 January 2026
- ISBN 9783032039668
- Binding Paperback
- No. of pages152 pages
- Size 235x155 mm
- Language English
- Illustrations XVI, 152 p. 8 illus. in color. 700
Categories
Long description:
"
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.
" MoreTable of Contents:
Galilei manifolds.- Classical Newton–Cartan gravity.- Galilei manifolds via principal bundles.- Semidirect extensions of principal bundles.- Bargmann structures.- Outlook.- Appendix A Semidirect products of Lie groups.
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