Variational Approach to Gravity Field Theories From Newton to Einstein and Beyond 1st Edition by Alberto Vecchiato ISBN 3319512099 978-3319512099

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Product details:

ISBN 10:  3319512099 

ISBN 13: 978-3319512099

Author: Alberto Vecchiato

 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. Throughoutthe 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.

Table of contents: 

Front Matter

Introduction and Classical Physics
A Short Introduction to Field Theories and Variational Approach – Alberto Vecchiato (Pages 3-22)
The Geometrical Character of Physics Theories – Alberto Vecchiato (Pages 23-28)
Fundamental Principles of Classical Physics – Alberto Vecchiato (Pages 29-56)
Classical Physics, Fundamental Principles, and Lagrangian Approach – Alberto Vecchiato (Pages 57-75)

Special Relativity
Special Relativity Setting Up – Alberto Vecchiato (Pages 79-114)
Special Relativity in Minkowskian Spacetime – Alberto Vecchiato (Pages 115-141)
Gravity and Special Relativity – Alberto Vecchiato (Pages 143-163)

General Relativity and Beyond
Lagrangian Formulation of General Relativity – Alberto Vecchiato (Pages 167-198)
Applications – Alberto Vecchiato (Pages 199-238)
Beyond General Relativity – Alberto Vecchiato (Pages 239-271)

Back Matter

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Tags: Alberto Vecchiato, Variational Approach, to Gravity Field Theories, From Newton to, Einstein and Beyond