The Potential of Fields in Einstein's Theory of Gravitation PDF Download
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Author: Zafar Ahsan
Publisher: Springer
ISBN: 9811389764
Category : Science
Languages : en
Pages : 125
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Book Description
This book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms. It demonstrates that these formalisms offer some simplifications over the tensorial methods, and investigates a general approach to finding the Lanczos potential for algebraic space–time by translating all the tensorial relations concerning the Lanczos potential into the language of tetrad formalisms and using the Newman–Penrose and Geroch–Held–Penrose formalisms. In addition, the book obtains the Lanczos potential for perfect fluid space–time, and applies the results to cosmological models of the universe. In closing, it highlights other methods, apart from tetrad formalisms, for finding the Lanczos potential, as well as further applications of the Newman–Penrose formalism. Given its scope, the book will be of interest to pure mathematicians, theoretical physicists and cosmologists, and will provide common ground for communication among these scientific communities.
Author: Zafar Ahsan
Publisher: Springer
ISBN: 9811389764
Category : Science
Languages : en
Pages : 125
Get Book Here
Book Description
This book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms. It demonstrates that these formalisms offer some simplifications over the tensorial methods, and investigates a general approach to finding the Lanczos potential for algebraic space–time by translating all the tensorial relations concerning the Lanczos potential into the language of tetrad formalisms and using the Newman–Penrose and Geroch–Held–Penrose formalisms. In addition, the book obtains the Lanczos potential for perfect fluid space–time, and applies the results to cosmological models of the universe. In closing, it highlights other methods, apart from tetrad formalisms, for finding the Lanczos potential, as well as further applications of the Newman–Penrose formalism. Given its scope, the book will be of interest to pure mathematicians, theoretical physicists and cosmologists, and will provide common ground for communication among these scientific communities.
Author: James Malcolm Bird
Publisher:
ISBN:
Category : Gravitation
Languages : en
Pages : 378
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Book Description
Einstein's theory of relativity confounded and excited both professional and amateur scientists with its explanation of the intricacies of how the world and the universe truly work, rather than how people wished or believed they worked. His view of relativity dismantled Newton's theory of space and time as absolutes, adding the concept of curved space-time, which deals with the velocity of motion. Einstein explains his theory of physics in a way that was designed not only for scientists with a knowledge of the complicated math involved but for the general reader as well.
Author: Erwin Freundlich
Publisher:
ISBN:
Category : Gravitation
Languages : en
Pages : 88
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Book Description
Author: Jagdish Mehra
Publisher: Springer Science & Business Media
ISBN: 9401021945
Category : Science
Languages : en
Pages : 96
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Book Description
Some time ago I published a small piece * dealing with a charming little essay on 'the state of ether in magnetic fields', which the sixteen-year-old Einstein had written while he was awaiting admission to the E. T. H. in Zurich. This paper sought to trace the continuity between Einstein's early interest in electrodynamics and his later work on the special and general relativity theories. On reading this paper, Professor Eugene Wigner asked me whether David Hilbert had not independently discovered the field equations of gravitation. ** His impression from his stay in Gottingen (where Wigner had been Hilbert's assistant for one year in the late nineteen-twenties) was that Hilbert had indeed done so, and he asked me if it was true. I replied to Professor Wigner about Hilbert's contribution to the theory of gravitation. t He kindly encouraged me to expand my account to deal with the intricate and exciting details of the early years in the formulation of the general relativity theory of gravitation. This is what I have sought to do in this study. Albert Einstein created the general relativity theory of gravitation and dominated its development through the rest of his life. His early work on the theory of gravitation, from 1912 to 1916, had the drama of high adventure. It culminated in the establishment of its foundations which have remained unassailed by the theoretical and experimental work of succeeding decades.
Author: Erwin Freundlich
Publisher: Theclassics.Us
ISBN: 9781230469720
Category :
Languages : en
Pages : 28
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Book Description
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1922 edition. Excerpt: ...arises from the necessity of ascribing the same importance to gravitational phenomena as to inertial phenomena in the new process of founding mechanics--the law must therefore also contain terms which denote the gravitational state of the field from point to point; the second condition is derived from the postulate of the relativity of all motion.) A law of this kind exists in the special theory of relativity in the equation of motion of a single point, not subject to any external influence, in the form: S Jos-8 / V-dx-dy-dz + cW = 0. According to this equation, the path of a point is the "shortest" or "straightest" line (vide Note 20)--i.e. the "straight line," if the line-element ds is Euclidean. If the principle of the shortest path, which is to be followed in actual motions, be elevated in this form to a general differential law for the motion in a gravitational field too, with due regard to the principle of the relativity of all motions, the new fundamental law must run as follows: 8 Ids = SJVS+ST... + g dxt-0...(1). For only this form of the line-element remains unaltered (invariant) for arbitrary transformations of the Xj, xt, q, xt. The ten coefficients g which will in general be functions of the variables at, ... x4, must be able to be brought into such relationship to the 28 The Principle of Equivalence gravitational field, in which the motion takes place, that they are determined by the field, and that the motion described by equation (1) coincides with the observed motion. This is actually possible. (The g's are the gravitational potentials of the new theory, i.e. they take over the part played by the one gravitational potential in Newton's theory, without, however, having the special...
Author: Lorenzo Iorio
Publisher: MDPI
ISBN: 303842482X
Category : Mathematics
Languages : en
Pages : 469
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Book Description
This book is a printed edition of the Special Issue "100 Years of Chronogeometrodynamics: the Status of the Einstein's Theory of Gravitation in Its Centennial Year" that was published in Universe
Author: Eleftherios Papantonopoulos
Publisher: Springer
ISBN: 331910070X
Category : Science
Languages : en
Pages : 435
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Book Description
In the last few years modified gravity theories have been proposed as extensions of Einstein's theory of gravity. Their main motivation is to explain the latest cosmological and astrophysical data on dark energy and dark matter. The study of general relativity at small scales has already produced important results (cf e.g. LNP 863 Quantum Gravity and Quantum Cosmology) while its study at large scales is challenging because recent and upcoming observational results will provide important information on the validity of these modified theories. In this volume, various aspects of modified gravity at large scales will be discussed: high-curvature gravity theories; general scalar-tensor theories; Galileon theories and their cosmological applications; F(R) gravity theories; massive, new massive and topologically massive gravity; Chern-Simons modifications of general relativity (including holographic variants) and higher-spin gravity theories, to name but a few of the most important recent developments. Edited and authored by leading researchers in the field and cast into the form of a multi-author textbook at postgraduate level, this volume will be of benefit to all postgraduate students and newcomers from neighboring disciplines wishing to find a comprehensive guide for their future research.
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: Erwin Freundlich
Publisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 84
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Book Description
Author: Jong-Ping Hsu
Publisher: World Scientific
ISBN: 9812703403
Category : Science
Languages : en
Pages : 664
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Book Description
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."
