Variational Approach to Gravity Field Theories

From Newton to Einstein and Beyond

Alberto Vecchiato (Autor)

Buch | Softcover

XII, 361 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-51209-9 (ISBN)

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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. 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.

Alberto Vecchiato graduated in Physics from the University of Padova, Italy, in 1996 and subsequently gained his PhD from the same university for a thesis on relativistic astrometry. He currently works at the Astrophysical Observatory of Torino, Pino Torinese, Italy. Dr. Vecchiato's scientific interests include general relativistic models of light propagation and astrometric measurements; high-precision tests of general relativity; alternative theories of gravity; and space astrometry. He is author of several research papers and a member of the Italian Society of General Relativity and Gravitational Physics (SIGRAV). Dr. Vecchiato has collaborated in various astronomical and astrophysical projects and proposals, he has been a member of the Gaia mission (ESA) since 2001, and in 2006 he became the coordinator of the verification sphere reconstruction pipeline of its data reduction consortium.

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.

"The first impression is good, also because all the proposed exercises and examples are fully solved. ... The author's approach and writing is clear, straightforward, and with specific attention to the connection with the evolution of the physical principles that lie at the basis of gravitation. The book is appropriate for university students, as well as, for more specialists or practitioners of matter." (Gabriella Bernardi, Astrocom et al., astrocometal.blogspot.de, July, 2017)

Erscheinungsdatum	19.06.2017
Reihe/Serie	Undergraduate Lecture Notes in Physics
Zusatzinfo	XII, 361 p. 7 illus., 4 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Alternative gravity theories • Classical and Quantum Gravitation, Relativity Theo • Classical electrodynamics • classical mechanics • Cosmology • Electomagnetism in Special Relativity • Electricity, electromagnetism and magnetism • Gravity • Lagrangian Approach • Newtonian Gravity • optical physics • Physics • Physics and Astronomy • Post-Newtonian Limit of GR • Relativity physics • Textbook Variational Approach in General Relativit • Textbook Variational Approach in General Relativity • Textbook Variational Approach in Special Relativit • Textbook Variational Approach in Special Relativity • Undergraduate Textbook Gravity Theories
ISBN-10	3-319-51209-9 / 3319512099
ISBN-13	978-3-319-51209-9 / 9783319512099
Zustand	Neuware