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Author: F. de Felice
Publisher: Cambridge University Press
Published: 1992-03-27
Total Pages: 466
ISBN-13: 9780521429085
DOWNLOAD EBOOKThis is a self-contained exposition of general relativity with emphasis given to tetrad and spinor structures and physical measurement on curved manifolds.
Author: Barrett O'Neill
Publisher: Academic Press
Published: 1983-07-29
Total Pages: 483
ISBN-13: 0080570577
DOWNLOAD EBOOKThis book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.
Author: Fernando de Felice
Publisher: Cambridge University Press
Published: 2010-07-29
Total Pages: 326
ISBN-13: 1139491598
DOWNLOAD EBOOKThe theory of relativity describes the laws of physics in a given space-time. However, a physical theory must provide observational predictions expressed in terms of measurements, which are the outcome of practical experiments and observations. Ideal for readers with a mathematical background and a basic knowledge of relativity, this book will help readers understand the physics behind the mathematical formalism of the theory of relativity. It explores the informative power of the theory of relativity, and highlights its uses in space physics, astrophysics and cosmology. Readers are given the tools to pick out from the mathematical formalism those quantities that have physical meaning and which can therefore be the result of a measurement. The book considers the complications that arise through the interpretation of a measurement, which is dependent on the observer who performs it. Specific examples of this are given to highlight the awkwardness of the problem.
Author: C. J. S. Clarke
Publisher: Cambridge University Press
Published: 1993
Total Pages: 196
ISBN-13: 9780521437967
DOWNLOAD EBOOKThe different possible singularities are defined and the mathematical methods needed to extend the space-time are described in detail in this book. Results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor.
Author: Brian P. Dolan
Publisher: Cambridge University Press
Published: 2023-06-30
Total Pages: 215
ISBN-13: 1009263714
DOWNLOAD EBOOKEinstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.
Author: Sean M. Carroll
Publisher: Cambridge University Press
Published: 2019-08-08
Total Pages: 529
ISBN-13: 1108488390
DOWNLOAD EBOOKAn accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.
Author: Anadi Jiban Das
Publisher: Springer Science & Business Media
Published: 2007-10-05
Total Pages: 300
ISBN-13: 0387694692
DOWNLOAD EBOOKHere is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail. Throughout, examples and problems are furnished from the theory of relativity and continuum mechanics.
Author: Theodore Frankel
Publisher: Courier Corporation
Published: 2013-04-10
Total Pages: 194
ISBN-13: 048628915X
DOWNLOAD EBOOKThis classic text and reference monograph applies modern differential geometry to general relativity. A brief mathematical introduction to gravitational curvature, it emphasizes the subject's geometric essence and stresses the global aspects of cosmology. Suitable for independent study as well as for courses in differential geometry, relativity, and cosmology. 1979 edition.
Author: Shlomo Sternberg
Publisher: Courier Corporation
Published: 2013-04-17
Total Pages: 418
ISBN-13: 0486292711
DOWNLOAD EBOOKExpert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.
Author: Bernard Schutz
Publisher: Cambridge University Press
Published: 2009-05-14
Total Pages: 411
ISBN-13: 0521887054
DOWNLOAD EBOOKSecond edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.
