Details
| Originalsprache | Englisch |
|---|---|
| Erscheinungsort | Cham |
| Seitenumfang | 171 |
| ISBN (elektronisch) | 978-3-032-03967-5 |
| Publikationsstatus | Veröffentlicht - 2026 |
Publikationsreihe
| Name | Lecture Notes in Physics |
|---|---|
| Herausgeber (Verlag) | Springer Cham |
| Band | 1044 |
| ISSN (Print) | 0075-8450 |
| ISSN (elektronisch) | 1616-6361 |
Abstract
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.
Fachgebiet (basierend auf ÖFOS 2012)
- NATURWISSENSCHAFTEN
- Physik, Astronomie
- Physik, Astronomie
- Relativitätstheorie
- NATURWISSENSCHAFTEN
- Physik, Astronomie
- Physik, Astronomie
- Mathematische Physik
- NATURWISSENSCHAFTEN
- Mathematik
- Mathematik
- Differentialgeometrie
- NATURWISSENSCHAFTEN
- Physik, Astronomie
- Physik, Astronomie
- Theoretische Physik
Zitieren
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- RIS
Cham, 2026. 171 S. (Lecture Notes in Physics; Band 1044).
Publikation: Buch/Bericht/Sammelwerk/Konferenzband › Monografie › Lehre › Peer-Review
}
TY - BOOK
T1 - Newton–Cartan Gravity
T2 - A Modern Introduction to Geometrised Newtonian Gravity
AU - Schwartz, Philip K.
N1 - Publisher Copyright: © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2026.
PY - 2026
Y1 - 2026
N2 - 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.
AB - 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.
KW - Covariant Newtonian limit of General Relativity
KW - Galilei geometry
KW - Galilei manifolds
KW - Newtonian spacetimes
KW - Trautman recovery
KW - Künzle–Ehlers recovery
KW - Bargmann group and Newtonian gravity
KW - Covariant Schrödinger equation
KW - String Newton–Cartan geometry
UR - http://www.scopus.com/inward/record.url?scp=105030120023&partnerID=8YFLogxK
U2 - 10.1007/978-3-032-03967-5
DO - 10.1007/978-3-032-03967-5
M3 - Monograph
SN - 978-3-032-03966-8
T3 - Lecture Notes in Physics
BT - Newton–Cartan Gravity
CY - Cham
ER -