[PDF] General Relativity And The Einstein Equations

General Relativity and the Einstein Equations PDF
Author: Yvonne Choquet-Bruhat
Publisher: Oxford University Press
ISBN: 0199230722
Size: 52.30 MB
Format: PDF, Docs
Category : Mathematics
Languages : un
Pages : 785
View: 2433

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General Relativity And The Einstein Equations

by Yvonne Choquet-Bruhat, release date 2009, General Relativity And The Einstein Equations Books available in PDF, EPUB, Mobi Format. Download General Relativity And The Einstein Equations books, General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.




[PDF] General Relativity And The Einstein Equations

General Relativity and the Einstein Equations PDF
Author: Yvonne Choquet-Bruhat
Publisher: OUP Oxford
ISBN: 0191578851
Size: 73.72 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 816
View: 3754

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General Relativity And The Einstein Equations

by Yvonne Choquet-Bruhat, release date 2008-12-04, General Relativity And The Einstein Equations Books available in PDF, EPUB, Mobi Format. Download General Relativity And The Einstein Equations books, General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.




[PDF] Relativity

Relativity PDF
Author: Albert Einstein
Publisher: GENERAL PRESS
ISBN: 9380914229
Size: 24.66 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 200
View: 6836

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Relativity

by Albert Einstein, release date 2016-05-30, Relativity Books available in PDF, EPUB, Mobi Format. Download Relativity books, Albert Einstein is the unquestioned founder of modern physics. His theory of relativity is the most important scientific idea of the modern era. In this book Einstein explains, using the minimum of mathematical terms, the basic ideas and principles of the theory which has shaped the world we live in today. Unsurpassed by any subsequent books on relativity, this remains the most popular and useful exposition of Einstein’s immense contribution to human knowledge. In this work Einstein intended, as far as possible, to give an exact insight into the theory of relativity to those readers who, from a general and scientific philosophical point of view, are interested in the theory, but who are not conversant with the mathematical apparatus of theoretical physics. The theory of relativity enriched physics and astronomy during the 20th century. (Relativity: The Special and the General Theory by Albert Einstein, 9789380914220)




[PDF] Numerical Relativity

Numerical Relativity PDF
Author: Thomas W. Baumgarte
Publisher: Cambridge University Press
ISBN: 1139643177
Size: 15.23 MB
Format: PDF, ePub, Docs
Category : Science
Languages : en
Pages :
View: 5293

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Numerical Relativity

by Thomas W. Baumgarte, release date 2010-06-24, Numerical Relativity Books available in PDF, EPUB, Mobi Format. Download Numerical Relativity books, Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance.




[PDF] The Einstein Equations And The Large Scale Behavior Of Gravitational Fields

The Einstein Equations and the Large Scale Behavior of Gravitational Fields PDF
Author: Piotr T. Chrusciel
Publisher: Birkhäuser
ISBN: 3034879539
Size: 65.81 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 485
View: 6352

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The Einstein Equations And The Large Scale Behavior Of Gravitational Fields

by Piotr T. Chrusciel, release date 2012-12-06, The Einstein Equations And The Large Scale Behavior Of Gravitational Fields Books available in PDF, EPUB, Mobi Format. Download The Einstein Equations And The Large Scale Behavior Of Gravitational Fields books, The book presents state-of-the-art results on the analysis of the Einstein equations and the large scale structure of their solutions. It combines in a unique way introductory chapters and surveys of various aspects of the analysis of the Einstein equations in the large. It discusses applications of the Einstein equations in geometrical studies and the physical interpretation of their solutions. Open problems concerning analytical and numerical aspects of the Einstein equations are pointed out. Background material on techniques in PDE theory, differential geometry, and causal theory is provided.




[PDF] Einstein Equations Physical And Mathematical Aspects Of General Relativity

Einstein Equations  Physical and Mathematical Aspects of General Relativity PDF
Author: Sergio Cacciatori
Publisher: Springer Nature
ISBN: 3030180611
Size: 39.98 MB
Format: PDF, Mobi
Category : Science
Languages : en
Pages : 357
View: 1744

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Einstein Equations Physical And Mathematical Aspects Of General Relativity

by Sergio Cacciatori, release date 2019-11-23, Einstein Equations Physical And Mathematical Aspects Of General Relativity Books available in PDF, EPUB, Mobi Format. Download Einstein Equations Physical And Mathematical Aspects Of General Relativity books, This book is based on lectures given at the first edition of the Domoschool, the International Alpine School in Mathematics and Physics, held in Domodossola, Italy, in July 2018. It is divided into two parts. Part I consists of four sets of lecture notes. These are extended versions of lectures given at the Domoschool, written by well-known experts in mathematics and physics related to General Relativity. Part II collects talks by selected participants, focusing on research related to General Relativity.




[PDF] Introduction To General Relativity Black Holes And Cosmology

Introduction to General Relativity  Black Holes  and Cosmology PDF
Author: Yvonne Choquet-Bruhat
Publisher: Oxford University Press, USA
ISBN: 0199666466
Size: 75.66 MB
Format: PDF, Kindle
Category : Science
Languages : un
Pages : 279
View: 6637

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Introduction To General Relativity Black Holes And Cosmology

by Yvonne Choquet-Bruhat, release date 2015-01-21, Introduction To General Relativity Black Holes And Cosmology Books available in PDF, EPUB, Mobi Format. Download Introduction To General Relativity Black Holes And Cosmology books, General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.




[PDF] Exact Solutions Of Einstein S Field Equations

Exact Solutions of Einstein s Field Equations PDF
Author: Hans Stephani
Publisher: Cambridge University Press
ISBN: 9781139435024
Size: 12.29 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages :
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Exact Solutions Of Einstein S Field Equations

by Hans Stephani, release date 2009-09-24, Exact Solutions Of Einstein S Field Equations Books available in PDF, EPUB, Mobi Format. Download Exact Solutions Of Einstein S Field Equations books, A paperback edition of a classic text, this book gives a unique survey of the known solutions of Einstein's field equations for vacuum, Einstein-Maxwell, pure radiation and perfect fluid sources. It introduces the foundations of differential geometry and Riemannian geometry and the methods used to characterize, find or construct solutions. The solutions are then considered, ordered by their symmetry group, their algebraic structure (Petrov type) or other invariant properties such as special subspaces or tensor fields and embedding properties. Includes all the developments in the field since the first edition and contains six completely new chapters, covering topics including generation methods and their application, colliding waves, classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics. It can also be used as an introductory text on some mathematical aspects of general relativity.




[PDF] The General Theory Of Relativity

The General Theory of Relativity PDF
Author: Anadijiban Das
Publisher: Springer Science & Business Media
ISBN: 1461436583
Size: 60.30 MB
Format: PDF
Category : Science
Languages : en
Pages : 678
View: 4394

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The General Theory Of Relativity

by Anadijiban Das, release date 2012-06-26, The General Theory Of Relativity Books available in PDF, EPUB, Mobi Format. Download The General Theory Of Relativity books, The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: tensor analysis the special theory of relativity the general theory of relativity and Einstein’s field equations spherically symmetric solutions and experimental confirmations static and stationary space-time domains black holes cosmological models algebraic classifications and the Newman-Penrose equations the coupled Einstein-Maxwell-Klein-Gordon equations appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland, Jadavpur University, India, Carnegie-Mellon University, USA, and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory. Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.




[PDF] General Relativity And Gravitation

General Relativity and Gravitation PDF
Author: Abhay Ashtekar
Publisher: Cambridge University Press
ISBN: 110703731X
Size: 53.15 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 696
View: 3857

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General Relativity And Gravitation

by Abhay Ashtekar, release date 2015-06-01, General Relativity And Gravitation Books available in PDF, EPUB, Mobi Format. Download General Relativity And Gravitation books, Explore spectacular advances in contemporary physics with this unique celebration of the centennial of Einstein's discovery of general relativity.