Variational Approach to Gravity Field Theories : From Newton to Einstein and Beyond / by Alberto Vecchiato

By:

Vecchiato, Alberto [aut]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Undergraduate Lecture Notes in Physics | SpringerLink BücherPublisher: Cham : Springer, 2017Description: Online-Ressource (XII, 361 p. 7 illus., 4 illus. in color, online resource)ISBN:

9783319512112

Subject(s):

Additional physical formats: 9783319512099 | Druckausg.: 978-3-319-51209-9 | Erscheint auch als: Variational approach to gravity field theories. Druck-Ausgabe Cham : Springer International Publishing, 2017. xii, 361 SeitenDDC classification:

530.1

MSC: MSC: *83-01 | 83A05 | 83C05 | 00A79 | 83-03 | 01A60 | 83D05 | 70H40 | 53Z05RVK: RVK: SK 660 | UH 8500LOC classification:

QC178 QC173.5-173.65
QC178
QC173.5-173.65

DOI: DOI: 10.1007/978-3-319-51211-2Online resources:

Summary: Part I Introduction -- The character of a scientific theory -- Field Theories and Variational approach -- Fundamental Principles and Field Theories -- Exercises -- Part II Special Relativity -- Motivations -- Mathematical model -- Electromagnetism in SR -- Exercises -- Part III General Relativity -- Motivations.- Lagrangian formulation of GR -- Applications -- Exercises -- Part IV Beyond Relativity -- Motivations -- Theory and Experiments -- Exercises.Summary: This book offers a detailed and stimulating account of the Lagrangian, or variational, approach to general relativity and beyond. The approach more usually adopted when describing general relativity is to introduce the required concepts of differential geometry and derive the field and geodesic equations from purely geometrical properties. Demonstration of the physical meaning then requires the weak field approximation of these equations to recover their Newtonian counterparts. The potential downside of this approach is that it tends to suit the mathematical mind and requires the physicist to study and work in a completely unfamiliar environment. In contrast, the approach to general relativity described in this book will be especially suited to physics students. After an introduction to field theories and the variational approach, individual sections focus on the variational approach in relation to special relativity, general relativity, and alternative theories of gravity. Throughout the text, solved exercises and examples are presented. The book will meet the needs of both students specializing in theoretical physics and those seeking a better understanding of particular aspects of the subject.PPN: PPN: 1659121744Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXP | ZDB-2-PHA

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