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Variational Approach to Gravity Field Theories - From Newton to Einstein and Beyond (Paperback, 1st ed. 2017)
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Variational Approach to Gravity Field Theories - From Newton to Einstein and Beyond (Paperback, 1st ed. 2017)
Series: Undergraduate Lecture Notes in Physics
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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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