How Einstein Found His Field Equations

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How Einstein Found His Field Equations

Author : Michel Janssen
Publisher : Springer Nature
ISBN 13 : 3030979555
Total Pages : 364 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis How Einstein Found His Field Equations by : Michel Janssen

Download or read book How Einstein Found His Field Equations written by Michel Janssen and published by Springer Nature. This book was released on 2022-07-29 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's field equations of gravitation are a core element of his general theory of relativity. In four short communications to the Prussian Academy of Sciences in Berlin in November 1015, we can follow the final steps toward these equations and the resulting theory's spectacular success in accounting for the anomalous motion of Mercury's perihelion. This source book provides an expert guide to these four groundbreaking papers. Following an introductory essay placing these papers in the context of the development of Einstein's theory, it presents and analyzes, in addition to the four papers of November 1915, a careful selection of (critical excerpts from) papers, letters, and manuscripts documenting the path that early on led Einstein to the field equations of the first November 1915 paper, but then took a turn away from them only to lead back to them in the end. Drawing on extensive research at the Einstein Papers Project and the Max Planck Institute for History of Science, this volume traces the intricate interplay between considerations of physics and considerations of mathematics that guided Einstein along this path. It thus presents a concise yet authoritative account of how Einstein found his field equations, affording readers who are prepared to immerse themselves in these intricacies a unique glimpse of Einstein at work at the height of his creative prowess. Highlights of this journey in Einstein's footsteps include the crucial pages (with detailed annotation) from the Zurich Notebook, the record of Einstein's early search for field equation with his mathematician friend Marcel Grossmann, and the Einstein-Besso manuscript, documenting Einstein's attempts with his friend and confidant Michele Besso to explain the Mercury anomaly on the basis of the equations that he and Grossmann had eventually settled on in the Zurich Notebook.

Exact Solutions of Einstein's Field Equations

Author : Hans Stephani
Publisher : Cambridge University Press
ISBN 13 : 9780521467025
Total Pages : 732 pages
Book Rating : 4.4/5 (67 download)

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Book Synopsis Exact Solutions of Einstein's Field Equations by : Hans Stephani

Download or read book Exact Solutions of Einstein's Field Equations written by Hans Stephani and published by Cambridge University Press. This book was released on 2009-09-24 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: A completely revised and updated edition of this classic text, covering important new methods and many recently discovered solutions. This edition contains new chapters on generation methods and their application, classification of metrics by invariants, and treatments of homothetic motions and methods from dynamical systems theory. It also includes colliding waves, inhomogeneous cosmological solutions, and spacetimes containing special subspaces.

Einstein’s Field Equations and Their Physical Implications

Author : Bernd G. Schmidt
Publisher : Springer
ISBN 13 : 3540465804
Total Pages : 433 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Einstein’s Field Equations and Their Physical Implications by : Bernd G. Schmidt

Download or read book Einstein’s Field Equations and Their Physical Implications written by Bernd G. Schmidt and published by Springer. This book was released on 2008-01-11 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields. The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.

The Einstein Equations and the Large Scale Behavior of Gravitational Fields

Author : Piotr T. Chrusciel
Publisher : Birkhäuser
ISBN 13 : 3034879539
Total Pages : 487 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Einstein Equations and the Large Scale Behavior of Gravitational Fields by : Piotr T. Chrusciel

Download or read book The Einstein Equations and the Large Scale Behavior of Gravitational Fields written by Piotr T. Chrusciel and published by Birkhäuser. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Traveling at the Speed of Thought

Author : Daniel Kennefick
Publisher : Princeton University Press
ISBN 13 : 1400882745
Total Pages : 334 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Traveling at the Speed of Thought by : Daniel Kennefick

Download or read book Traveling at the Speed of Thought written by Daniel Kennefick and published by Princeton University Press. This book was released on 2016-03-29 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Einstein first described them nearly a century ago, gravitational waves have been the subject of more sustained controversy than perhaps any other phenomenon in physics. These as yet undetected fluctuations in the shape of space-time were first predicted by Einstein's general theory of relativity, but only now, at the dawn of the twenty-first century, are we on the brink of finally observing them. Daniel Kennefick's landmark book takes readers through the theoretical controversies and thorny debates that raged around the subject of gravitational waves after the publication of Einstein's theory. The previously untold story of how we arrived at a settled theory of gravitational waves includes a stellar cast from the front ranks of twentieth-century physics, including Richard Feynman, Hermann Bondi, John Wheeler, Kip Thorne, and Einstein himself, who on two occasions avowed that gravitational waves do not exist, changing his mind both times. The book derives its title from a famously skeptical comment made by Arthur Stanley Eddington in 1922--namely, that "gravitational waves propagate at the speed of thought." Kennefick uses the title metaphorically to contrast the individual brilliance of each of the physicists grappling with gravitational-wave theory against the frustratingly slow progression of the field as a whole. Accessibly written and impeccably researched, this book sheds new light on the trials and conflicts that have led to the extraordinary position in which we find ourselves today--poised to bring the story of gravitational waves full circle by directly confirming their existence for the very first time.

The Genesis of General Relativity

Author : Jürgen Renn
Publisher : Springer Science & Business Media
ISBN 13 : 1402040008
Total Pages : 2072 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Genesis of General Relativity by : Jürgen Renn

Download or read book The Genesis of General Relativity written by Jürgen Renn and published by Springer Science & Business Media. This book was released on 2007-06-17 with total page 2072 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-volume work represents the most comprehensive documentation and study of the creation of general relativity. Einstein’s 1912 Zurich notebook is published for the first time in facsimile and transcript and commented on by today’s major historians of science. Additional sources from Einstein and others, who from the late 19th to the early 20th century contributed to this monumental development, are presented here in translation for the first time. The volumes offer detailed commentaries and analyses of these sources that are based on a close reading of these documents supplemented by interpretations by the leading historians of relativity.

Tensor Calculus for Physics

Author : Dwight E. Neuenschwander
Publisher : JHU Press
ISBN 13 : 142141564X
Total Pages : 244 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Tensor Calculus for Physics by : Dwight E. Neuenschwander

Download or read book Tensor Calculus for Physics written by Dwight E. Neuenschwander and published by JHU Press. This book was released on 2015 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"

General Relativity

Author : Michael J W Hall
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681748843
Total Pages : 122 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis General Relativity by : Michael J W Hall

Download or read book General Relativity written by Michael J W Hall and published by Morgan & Claypool Publishers. This book was released on 2018-03-23 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a set of 18 class-tested lectures delivered to fourth-year physics undergraduates at Griffith University in Brisbane, and the book presents new discoveries by the Nobel-prize winning LIGO collaboration. The author begins with a review of special relativity and tensors and then develops the basic elements of general relativity (a beautiful theory that unifies special relativity and gravitation via geometry) with applications to the gravitational deflection of light, global positioning systems, black holes, gravitational waves, and cosmology. The book provides readers with a solid understanding of the underlying physical concepts; an ability to appreciate and in many cases derive important applications of the theory; and a solid grounding for those wishing to pursue their studies further. General Relativity: An Introduction to Black Holes, Gravitational Waves, and Cosmology also connects general relativity with broader topics. There is no doubt that general relativity is an active and exciting field of physics, and this book successfully transmits that excitement to readers.

Einstein’s Field Equations and Their Physical Implications

Author : Bernd G. Schmidt
Publisher : Springer Science & Business Media
ISBN 13 : 3540670734
Total Pages : 443 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Einstein’s Field Equations and Their Physical Implications by : Bernd G. Schmidt

Download or read book Einstein’s Field Equations and Their Physical Implications written by Bernd G. Schmidt and published by Springer Science & Business Media. This book was released on 2000-02-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields. The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.

Numerical Relativity

Author : Thomas W. Baumgarte
Publisher : Cambridge University Press
ISBN 13 : 1139643177
Total Pages : 717 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Numerical Relativity by : Thomas W. Baumgarte

Download or read book Numerical Relativity written by Thomas W. Baumgarte and published by Cambridge University Press. This book was released on 2010-06-24 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Cambridge Companion to Einstein

Author : Michel Janssen
Publisher : Cambridge University Press
ISBN 13 : 0521828341
Total Pages : 579 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis The Cambridge Companion to Einstein by : Michel Janssen

Download or read book The Cambridge Companion to Einstein written by Michel Janssen and published by Cambridge University Press. This book was released on 2014-05-19 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: These fourteen essays by leading historians and philosophers of science introduce the reader to the work of Albert Einstein. Following an introduction that places Einstein's work in the context of his life and times, the essays explain his main contributions to physics in terms that are accessible to a general audience, including special and general relativity, quantum physics, statistical physics, and unified field theory. The closing essays explore the relation between Einstein's work and twentieth-century philosophy, as well as his political writings.

An Einstein Encyclopedia

Author : Alice Calaprice
Publisher : Princeton University Press
ISBN 13 : 0691141746
Total Pages : 372 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis An Einstein Encyclopedia by : Alice Calaprice

Download or read book An Einstein Encyclopedia written by Alice Calaprice and published by Princeton University Press. This book was released on 2015-10-27 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complete guide to everything you ever wanted to know about Einstein This is the single most complete guide to Albert Einstein's life and work for students, researchers, and browsers alike. Written by three leading Einstein scholars who draw on their combined wealth of expertise gained during their work on the Collected Papers of Albert Einstein, this authoritative and accessible reference features more than one hundred entries and is divided into three parts covering the personal, scientific, and public spheres of Einstein’s life. An Einstein Encyclopedia contains entries on Einstein’s birth and death, family and romantic relationships, honors and awards, educational institutions where he studied and worked, citizenships and immigration to America, hobbies and travels, plus the people he befriended and the history of his archives and the Einstein Papers Project. Entries on Einstein’s scientific theories provide useful background and context, along with details about his assistants, collaborators, and rivals, as well as physics concepts related to his work. Coverage of Einstein’s role in public life includes entries on his Jewish identity, humanitarian and civil rights involvements, political and educational philosophies, religion, and more. Commemorating the hundredth anniversary of the theory of general relativity, An Einstein Encyclopedia also includes a chronology of Einstein’s life and appendixes that provide information for further reading and research, including an annotated list of a selection of Einstein’s publications and a review of selected books about Einstein. More than 100 entries cover the rich details of Einstein’s personal, professional, and public life Authoritative entries explain Einstein’s family relationships, scientific achievements, political activities, religious views, and more More than 40 illustrations include photos of Einstein and his circle plus archival materials A chronology of Einstein’s life, appendixes, and suggestions for further reading provide essential details for further research

Exact Solutions of Einstein's Field Equations

Author : Hans Stephani
Publisher : Cambridge University Press
ISBN 13 : 9781139435024
Total Pages : 94 pages
Book Rating : 4.4/5 (35 download)

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Book Synopsis Exact Solutions of Einstein's Field Equations by : Hans Stephani

Download or read book Exact Solutions of Einstein's Field Equations written by Hans Stephani and published by Cambridge University Press. This book was released on 2009-09-24 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: A paperback edition of a classic text, this book contains six new chapters, covering 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.

Einstein's Theory

Author : Øyvind Grøn
Publisher : Springer Science & Business Media
ISBN 13 : 1461407060
Total Pages : 351 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Einstein's Theory by : Øyvind Grøn

Download or read book Einstein's Theory written by Øyvind Grøn and published by Springer Science & Business Media. This book was released on 2011-08-30 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity. First, the book starts at a lower mathematical level than standard books with tensor calculus of sufficient maturity to make it possible to give detailed calculations of relativistic predictions of practical experiments. Self-contained introductions are given, for example vector calculus, differential calculus and integrations. Second, in-between calculations have been included, making it possible for the non-technical reader to follow step-by-step calculations. Thirdly, the conceptual development is gradual and rigorous in order to provide the inexperienced reader with a philosophically satisfying understanding of the theory. The goal of this book is to provide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativistic effects.

The Infinite Universe

Author : Tim Andersen
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.6/5 (432 download)

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Book Synopsis The Infinite Universe by : Tim Andersen

Download or read book The Infinite Universe written by Tim Andersen and published by . This book was released on 2020-05-04 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for anyone who wants a fresh approach to modern physics. Are you tired of amusing anecdotes about scientists' personal lives and eureka moments? Bored of chronological narratives of scientific progress through the ages? No longer wowed by ideas like string theory? Interested in first principles thinking and what it can do for you? This book is for you. This book is designed to take you step by step through the fundamental principles that underlie the physics of space, time, and matter. It is a how-to guide for building up our universe from first principles. By posing questions and answering them with illustrations and examples, the book shows how we can demonstrate what we know about the universe with simple concepts and thought experiments. With this book, you too can apply first principles to build up your own model of the universe and how it works, one you can take with you, and apply it to other areas of your life such as your job, business, even your relationships. There are no complicated mathematics in this book and I have minimized the amount of jargon. Thus, it is suitable anyone of any educational background from high school on. The book aims to be straightforward about how we get from simple ideas to complex physical theories. So, if you are interested in a new way of looking at the universe and are not afraid to unlearn some of what you have learned, take a look inside.

General Relativity for Planetary Navigation

Author : James Miller
Publisher : Springer Nature
ISBN 13 : 3030775461
Total Pages : 109 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis General Relativity for Planetary Navigation by : James Miller

Download or read book General Relativity for Planetary Navigation written by James Miller and published by Springer Nature. This book was released on 2021-08-31 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief approaches General Relativity from a planetary navigation perspective, delving into the unconventional mathematical methods required to produce computer software for space missions. It provides a derivation of the Einstein field equations and describes experiments performed on the Near Earth Asteroid Rendezvous mission, spanning General Relativity Theory from the fundamental assumptions to experimental verification. The software used for planetary missions is derived from mathematics that use matrix notation. An alternative is to use Einstein summation notation, which enables the mathematics to be presented in a compact form but makes the geometry difficult to understand. In this book, the relationship of matrix notation to summation notation is shown. The purpose is to enable the reader to derive the mathematics used in the software in either matrix notation or summation notation. This brief is a useful tool for advanced students and young professionals embarking on careers in planetary navigation.

The Road to Relativity

Author : Hanoch Gutfreund
Publisher : Princeton University Press
ISBN 13 : 0691175810
Total Pages : 257 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Road to Relativity by : Hanoch Gutfreund

Download or read book The Road to Relativity written by Hanoch Gutfreund and published by Princeton University Press. This book was released on 2017-05-09 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: An annotated facsimile edition of Einstein's handwritten manuscript on the foundations of general relativity This richly annotated facsimile edition of "The Foundation of General Relativity" introduces a new generation of readers to Albert Einstein's theory of gravitation. Written in 1915, this remarkable document is a watershed in the history of physics and an enduring testament to the elegance and precision of Einstein's thought. Presented here is a beautiful facsimile of Einstein's original handwritten manuscript, along with its English translation and an insightful page-by-page commentary that places the work in historical and scientific context. Hanoch Gutfreund and Jürgen Renn's concise introduction traces Einstein's intellectual odyssey from special to general relativity, and their essay "The Charm of a Manuscript" provides a delightful meditation on the varied afterlife of Einstein's text. Featuring a foreword by John Stachel, this handsome edition also includes a biographical glossary of the figures discussed in the book, a comprehensive bibliography, suggestions for further reading, and numerous photos and illustrations throughout.