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Einsteins Field Equations And Their Physical Implications
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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.
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 2014-03-12 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.
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.
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.
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.
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.
Book Synopsis Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity by : Sergio Luigi Cacciatori
Download or read book Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity written by Sergio Luigi Cacciatori and published by Springer Nature. This book was released on 2023-03-15 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume guides early-career researchers through recent breakthroughs in mathematics and physics as related to general relativity. Chapters are based on courses and lectures given at the July 2019 Domoschool, International Alpine School in Mathematics and Physics, held in Domodossola, Italy, which was titled “Einstein Equations: Physical and Mathematical Aspects of General Relativity”. Structured in two parts, the first features four courses from prominent experts on topics such as local energy in general relativity, geometry and analysis in black hole spacetimes, and antimatter gravity. The second part features a variety of papers based on talks given at the summer school, including topics like: Quantum ergosphere General relativistic Poynting-Robertson effect modelling Numerical relativity Length-contraction in curved spacetime Classicality from an inhomogeneous universe Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity will be a valuable resource for students and researchers in mathematics and physicists interested in exploring how their disciplines connect to general relativity.
Book Synopsis Beyond Einstein Gravity by : Jorge Ovalle
Download or read book Beyond Einstein Gravity written by Jorge Ovalle and published by Springer Nature. This book was released on 2020-01-16 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves two main purposes: firstly, it shows, in a simple way, how the possible existence of an extra-spatial dimension would affect the predictions of four-dimensional General Relativity, a model known as the Brane world; secondly, it explains, step-by-step, a new technique called Minimal Geometric Deformation, which was introduced for the purpose of solving the correspondingly modified Einstein field equations. This method gave rise to the Gravitational Decoupling in General Relativity, which is widely used to solve the Einstein field equations in various contexts.
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 2012-10-23 with total page 0 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.
Author :Myron Evans Publisher :Cambridge International Science Publishing ISBN 13 :9781907343285 Total Pages :0 pages Book Rating :4.3/5 (432 download)
Book Synopsis Criticisms of the Einstein Field Equation by : Myron Evans
Download or read book Criticisms of the Einstein Field Equation written by Myron Evans and published by Cambridge International Science Publishing. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In about 1915, Einstein and Hilbert independently inferred a field equation of general relativity based on the geometry then known to them. Almost since inception this equation was criticised by prominent physicists and mathematicians, notably Schroedinger (1918) and Cartan (early twenties). The latter clearly informed Einstein that the type of geometry that he used had a fundamental error in it, it omitted consideration of a quantity known as spacetime torsion and used the wrong symmetry for the geometrical connection. These criticisms were brushed aside when Eddington claimed to have verified a prediction of the theory, the angle of deflection of light grazing the sun was twice the Newtonian value. It is well known by now that this claim by Eddington was subjective, the usual mistake was made of choosing data to fit a theory. It finally became clear that the field equation is hopelessly incorrect when the velocity curves of spiral galaxies were discovered in the late fifties. About that time a new generation of mathematicians and theoretical physicists began to elevate the Einstein field equation into the realms of pure mythology, it was claimed to have produced "big bang" (a derisory term coined by Sir Fred Hoyle). It is now known experimentally that this claim is again hopelessly wrong. So there is a domino effect going on, all that is known about the universe is totally wrong as one BBC programme put it recently. The reason for this is the use of the wrong type of geometry by Einstein, right at the beginning of the subject. In 2003 one of the four authors of this book began to construct a unified field theory of general relativity called "Einstein Cartan Evans" or ECE theory. This time, the geometry was correct, and physics was based on torsion. The ECE theory has developed into about 168 source papers to date and several books and articles by ECE scholars. It has made a phenomenal worldwide impact, indicating a great dissatisfaction with the obsolete physics. This book is the first to collect the severe criticisms of Einstein that are now commonplace. Not only have cosmologists adhered to an incorrect geometry, like glue stuck to marble, but they have also compounded this error by using incorrect methods of solution of an incorrect equation. The result is, unsurprisingly, totally wrong. One of the four authors of this book is the most severe and tenacious critic of these methods, Stephen Crothers, whose careful scholarship has unearthed some amazing mistakes repeated in perpetuity. The first chapter is an introduction by Myron Evans, and in the second chapter he summarizes the development of ECE theory. The third chapter is by Stephen Crothers, and summarizes his numerous criticisms of the incorrect methods of Einsteinian cosmology, criticisms made with characteristic intellectual honesty for more than a decade.The fourth chapter is by Horst Eckardt, who makes use of computer algebra and the Evans Identity of geometry to show that all the metrics that are solutions of the Einstein field equation are incorrect due to neglect of torsion. The computer algebra ensures correctness and is the only way to deal with the often bizarre complexity of the meaningless and obsolete physics that grew like detritus around the Einstein field equation. The fifth chapter is by one of the leading astronomers in Britain, Kerry Pendergast, who gives a readable account of the new post Einsteinian astronomy, how ECE theory should be used in astronomy and how to come to grips with Hawking's sudden abandonment of his big bang theory in 2005.
Book Synopsis Einstein's General Theory of Relativity by : Brian P. Dolan
Download or read book Einstein's General Theory of Relativity written by Brian P. Dolan and published by Cambridge University Press. This book was released on 2023-06-30 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein'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.
Book Synopsis A Mathematical Journey to Relativity by : Wladimir-Georges Boskoff
Download or read book A Mathematical Journey to Relativity written by Wladimir-Georges Boskoff and published by Springer Nature. This book was released on with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 100 Years of Gravity and Accelerated Frames by : Jong-Ping Hsu
Download or read book 100 Years of Gravity and Accelerated Frames written by Jong-Ping Hsu and published by World Scientific. This book was released on 2005 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers presents ideas and problems arising over the past 100 years regarding classical and quantum gravity, gauge theories of gravity, and spacetime transformations of accelerated frames. Both Einstein''s theory of gravity and the YangOCoMills theory are gauge invariant. The invariance principles in physics have transcended both kinetic and dynamic properties and are at the very heart of our understanding of the physical world. In this spirit, this book attempts to survey the development of various formulations for gravitational and YangOCoMills fields and spacetime transformations of accelerated frames, and to reveal their associated problems and limitations. The aim is to present some of the leading ideas and problems discussed by physicists and mathematicians. We highlight three aspects: formulations of gravity as a YangOCoMills field, first discussed by Utiyama; problems of gravitational theory, discussed by Feynman, Dyson and others; spacetime properties and the physics of fields and particles in accelerated frames of reference. These unfulfilled aspects of Einstein and YangOCoMills'' profound thoughts present a great challenge to physicists and mathematicians in the 21st century."
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.
Book Synopsis The Hilbert Book Model by : Hans van Leunen
Download or read book The Hilbert Book Model written by Hans van Leunen and published by Lulu.com. This book was released on 2011-12-07 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of related papers whose main subject concerns the Hilbert Book Model. This is a simple model of physics that is strictly based on traditional quantum logic. The book provides equations of free motion for all known massive elementary particles. It treats physicl fields in a revolutionary way and throws new light on the relation between space and time.
Book Synopsis The Geometry of Spacetime by : James J. Callahan
Download or read book The Geometry of Spacetime written by James J. Callahan and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.
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.
