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Symmetries and Curvature Structure in General Relativity

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Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 519/5 ( reviews)

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Book Synopsis Symmetries and Curvature Structure in General Relativity by : Graham S. Hall

Download or read book Symmetries and Curvature Structure in General Relativity written by Graham S. Hall. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided.

Lecture notes on symmetries and curvature structure in general relativity

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Release : 1998
Genre :
Kind : eBook
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Book Synopsis Lecture notes on symmetries and curvature structure in general relativity by : G.S. Hall

Download or read book Lecture notes on symmetries and curvature structure in general relativity written by G.S. Hall. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetries And Curvature Structure In General Relativity

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Release : 2004-04-27
Genre : Science
Kind : eBook
Book Rating : 315/5 ( reviews)

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Book Synopsis Symmetries And Curvature Structure In General Relativity by : Graham S Hall

Download or read book Symmetries And Curvature Structure In General Relativity written by Graham S Hall. This book was released on 2004-04-27. Available in PDF, EPUB and Kindle. Book excerpt: This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided.

Projective Symmetries, Holonomy and Curvature Structure in General Relativity

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Author :
Release : 1995
Genre :
Kind : eBook
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Book Synopsis Projective Symmetries, Holonomy and Curvature Structure in General Relativity by : David P. Lonie

Download or read book Projective Symmetries, Holonomy and Curvature Structure in General Relativity written by David P. Lonie. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt:

Thinking About Space and Time

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Release : 2020-09-25
Genre : Mathematics
Kind : eBook
Book Rating : 827/5 ( reviews)

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Book Synopsis Thinking About Space and Time by : Claus Beisbart

Download or read book Thinking About Space and Time written by Claus Beisbart. This book was released on 2020-09-25. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an integrated understanding of how the theory of general relativity gained momentum after Einstein had formulated it in 1915. Chapters focus on the early reception of the theory in physics and philosophy and on the systematic questions that emerged shortly after Einstein's momentous discovery. They are written by physicists, historians of science, and philosophers, and were originally presented at the conference titled Thinking About Space and Time: 100 Years of Applying and Interpreting General Relativity, held at the University of Bern from September 12-14, 2017. By establishing the historical context first, and then moving into more philosophical chapters, this volume will provide readers with a more complete understanding of early applications of general relativity (e.g., to cosmology) and of related philosophical issues. Because the chapters are often cross-disciplinary, they cover a wide variety of topics related to the general theory of relativity. These include: Heuristics used in the discovery of general relativity Mach's Principle The structure of Einstein's theory Cosmology and the Einstein world Stability of cosmological models The metaphysical nature of spacetime The relationship between spacetime and dynamics The Geodesic Principle Symmetries Thinking About Space and Time will be a valuable resource for historians of science and philosophers who seek a deeper knowledge of the (early and later) uses of general relativity, as well as for physicists and mathematicians interested in exploring the wider historical and philosophical context of Einstein's theory.

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