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Variational approach to gravity field theories = from Newton to Einstein and beyond /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Variational approach to gravity field theories/ by Alberto Vecchiato.
Reminder of title:	from Newton to Einstein and beyond /
Author:	Vecchiato, Alberto.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xii, 361 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Gravitational fields - Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-51211-2
ISBN:	9783319512112

Variational approach to gravity field theories = from Newton to Einstein and beyond /
Vecchiato, Alberto.

Variational approach to gravity field theoriesfrom Newton to Einstein and beyond /[electronic resource] :by Alberto Vecchiato. - Cham :Springer International Publishing :2017. - xii, 361 p. :ill., digital ;24 cm. - Undergraduate lecture notes in physics,2192-4791. - Undergraduate lecture notes in physics..

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.

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.

ISBN: 9783319512112

Standard No.: 10.1007/978-3-319-51211-2doiSubjects--Topical Terms:

1142950
Gravitational fields
--Mathematics.

LC Class. No.: QC178

Dewey Class. No.: 531.14

Variational approach to gravity field theories = from Newton to Einstein and beyond /
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520 $a 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.
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