Studies On Einstein's Field Equations And Cosmological Constant PDF Download
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Author: Sayed Allamah Iqbal
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659548161
Category :
Languages : en
Pages : 92
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Book Description
This book is mainly expository work but chapter three carries (3.1.28), (3.1.29) and (3.1.38) a little original calculation. The various chapters are organized as follows, Chapter one contains a brief review of general relativity.Chapter two Contains space and time manifold.Chapter three Contains an Exact Solution of Einstein's Equations where the theories of modern physics generally involve a mathematical model, defined by a certain set of rules for translating the mathematical result into meaningful statements about the physical world.Chapter four Contains a cosmological constant introduced into the description of the universe in terms of the general theory of relativity by Albert Einstein in order to make those models static.Chapter five deals with Friedman Model with cosmological constant and Chapter six contains the Cosmological Constant where cosmological constant was invented by Albert Einstein in 1917 already mention in different chapters. Einstein used his equations of general relativity to make cosmological models. He found that the model could not stay the some size, but needed to be either expansion or contraction.
Author: Sayed Allamah Iqbal
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659548161
Category :
Languages : en
Pages : 92
Get Book Here
Book Description
This book is mainly expository work but chapter three carries (3.1.28), (3.1.29) and (3.1.38) a little original calculation. The various chapters are organized as follows, Chapter one contains a brief review of general relativity.Chapter two Contains space and time manifold.Chapter three Contains an Exact Solution of Einstein's Equations where the theories of modern physics generally involve a mathematical model, defined by a certain set of rules for translating the mathematical result into meaningful statements about the physical world.Chapter four Contains a cosmological constant introduced into the description of the universe in terms of the general theory of relativity by Albert Einstein in order to make those models static.Chapter five deals with Friedman Model with cosmological constant and Chapter six contains the Cosmological Constant where cosmological constant was invented by Albert Einstein in 1917 already mention in different chapters. Einstein used his equations of general relativity to make cosmological models. He found that the model could not stay the some size, but needed to be either expansion or contraction.
Author: A.J. Kox
Publisher: Springer Science & Business Media
ISBN: 0817644547
Category : Science
Languages : en
Pages : 384
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Book Description
Outgrowth of 6th Int'l Conference on the History of General Relativity, held in Amsterdam on June 26-29, 2002 Contributions from notable experts offer both new and historical insights on gravitation, general relativity, cosmology, unified field theory, and the history of science Topics run gamet from detailed mathematical discussions to more personal recollections of relativity as seen through the eyes of the public and renowned relativists
Author: Claus Beisbart
Publisher: Springer Nature
ISBN: 3030477827
Category : Mathematics
Languages : en
Pages : 277
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Book Description
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.
Author: Øyvind Grøn
Publisher: Springer Science & Business Media
ISBN: 0387692002
Category : Science
Languages : en
Pages : 540
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Book Description
This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.
Author: Don Howard
Publisher: Einstein Studies
ISBN:
Category : Biography & Autobiography
Languages : en
Pages : 472
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Book Description
Based upon the proceedings of the First International Conference on the History of General Relativity, held at Boston University's Osgood Hill Conference Center, North Andover, Massachusetts, 8-11 May 1986, this volume brings together essays by twelve prominent historians and philosophers of science and physicists. The topics range from the development of general relativity (John Norton, John Stachel) and its early reception (Carlo Cattani, Michelangelo De Maria, Anne Kox), through attempts to understand the physical implications of the theory (Jean Eisenstaedt, Peter Havas) and to quantize it (Peter G. Bergmann), to elaborations of the theory into a unified theory of electromagnetism and gravitation (Vladimir P. Vizgin, Michel Biezunski), and considerations of its cosmological extensions (Pierre Kerszberg, George F.R. Ellis). This is the first volume to survey many of the most important questions in the history of general relativity, with many of the contributions drawing upon such original resources as the Einstein Archive. It is hoped that it will stimulate much-needed further research in this hitherto neglected area.
Author: Michel Janssen
Publisher: Springer Nature
ISBN: 3030979555
Category : Science
Languages : en
Pages : 364
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Book Description
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.
Author: Piotr T. Chrusciel
Publisher: Birkhäuser
ISBN: 3034879539
Category : Science
Languages : en
Pages : 487
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Book Description
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: Yvonne Choquet-Bruhat
Publisher: OUP Oxford
ISBN: 0191578851
Category : Mathematics
Languages : en
Pages : 816
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Book Description
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.
Author: Marcelo Samuel Berman
Publisher: Nova Publishers
ISBN: 9781594547171
Category : Science
Languages : en
Pages : 232
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Book Description
This book is an introductory text in General Relativity, while also focusing some solutions to the cosmological constant problem, which consists in an amazing 100 orders of magnitude discrepancy between the value of this constant in the present Universe, and its estimated value in the very early epoch. The author suggests that the constant is in fact, a time-varying function of the age of the Universe. The book offers a wealth of cosmological models, treats up to date findings, like the verification of the Lense-Thirring effect in the year 2004, and the recently published research by Cooperstock and Tieu (2005) suggesting that "dark" matter is not a necessary concept in order to explain the rotational velocities of stars around galaxies' nuclei. This is a mathematical cosmology textbook that may lead undergraduates, and graduate students to one of the frontiers of research, while keeping the prerequisites to a minimum, because most of the theory in the book requires only prior knowledge of Calculus and a University Physics course.
Author: Hans Stephani
Publisher: Cambridge University Press
ISBN: 9780521467025
Category : Science
Languages : en
Pages : 732
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Book Description
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.
