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The Conformal Structure Of Space Times
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Book Synopsis The Conformal Structure of Space-Times by : Jörg Frauendiener
Download or read book The Conformal Structure of Space-Times written by Jörg Frauendiener and published by Springer Science & Business Media. This book was released on 2002-12-10 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Causal relations, and with them the underlying null cone or conformal structure, form a basic ingredient in all general analytical studies of asymptotically flat space-time. The present book reviews these aspects from the analytical, geometrical and numerical points of view. Care has been taken to present the material in a way that will also be accessible to postgraduate students and nonspecialist reseachers from related fields.
Book Synopsis The Conformal Structure of Space-Times by : Jörg Frauendiener
Download or read book The Conformal Structure of Space-Times written by Jörg Frauendiener and published by Springer. This book was released on 2008-01-11 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Causal relations, and with them the underlying null cone or conformal structure, form a basic ingredient in all general analytical studies of asymptotically flat space-time. The present book reviews these aspects from the analytical, geometrical and numerical points of view. Care has been taken to present the material in a way that will also be accessible to postgraduate students and nonspecialist reseachers from related fields.
Book Synopsis The Large Scale Structure of Space-Time by : S. W. Hawking
Download or read book The Large Scale Structure of Space-Time written by S. W. Hawking and published by Cambridge University Press. This book was released on 1975-02-27 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.
Book Synopsis The Large Scale Structure of Space-Time by : Stephen W. Hawking
Download or read book The Large Scale Structure of Space-Time written by Stephen W. Hawking and published by Cambridge University Press. This book was released on 2023-02-16 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This influential work explores Einstein's General Theory of Relativity and its predictions relating to singularities in space-time.
Book Synopsis Exact Space-Times in Einstein's General Relativity by : Jerry B. Griffiths
Download or read book Exact Space-Times in Einstein's General Relativity written by Jerry B. Griffiths and published by Cambridge University Press. This book was released on 2009-10-15 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.
Book Synopsis 100 Years Of Relativity: Space-time Structure - Einstein And Beyond by : Abhay Ashtekar
Download or read book 100 Years Of Relativity: Space-time Structure - Einstein And Beyond written by Abhay Ashtekar and published by World Scientific. This book was released on 2005-11-22 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thanks to Einstein's relativity theories, our notions of space and time underwent profound revisions about a 100 years ago. The resulting interplay between geometry and physics has dominated all of fundamental physics since then. This volume contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century. Contributions here include summaries of radical changes in the notions of space and time that are emerging from quantum field theory in curved space-times (Ford), string theory (T Banks), loop quantum gravity (A Ashtekar), quantum cosmology (M Bojowald), discrete approaches (Dowker, Gambini and Pullin) and twistor theory (R Penrose).
Book Synopsis Beating the Odds by : Meg Weston Smith
Download or read book Beating the Odds written by Meg Weston Smith and published by World Scientific. This book was released on 2013-04-16 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: E A Milne was one of the giants of 20th century astrophysics and cosmology. His bold ideas, underpinned by his Christianity, sparked controversy — he believed two time scales operate in the universe. Struggling against poverty, Milne won five scholarships to Cambridge, but he never finished his degree. In World War I he was invited to develop Horace Darwin's device for anti-aircraft gunnery and after the Armistice his prowess in ballistics took him straight to a Fellowship at Trinity College, Cambridge. By the age of thirty he was a Manchester professor and a Fellow of the Royal Society. At Oxford he battled to improve the university's attitude towards science, and established a world-centre of astrophysics. He suffered from Parkinsonism in his forties, the consequence of his having had encephalitis lethargica as a young man. However, buoyed by his Christian faith, he did not slacken his pace. When he died, twice widowed, the author — Milne's daughter — was a teenager. This book is born out of curiosity. The author's aim is to show the human face of science, how the course of her father's life was shaped by circumstance and by the influence of illustrious friends and colleagues such as Einstein, Eddington, G H Hardy, J B S Haldane, Hubble, F A Lindemann and Rutherford. Against all odds, Milne emerged as a scientific powerhouse — and a rebellious one at that. Contents:A Foothold on the LadderThe Upheavals of WarAdventures with ReflectionsThe Trials of TrumpetsCambridge RhapsodyRiding on a SunbeamNew HorizonsA Scientific WildernessCut and ThrustFamily versus CollegeCosmic Inspiration Oxford's EnlightenmentThe Pendulum and the AtomLifelineMathematics, Bombs and BureaucracyA InvitationA Race Unfinished Readership: Astronomers, cosmologists, mathematicians, science historians, audiences interested in wartime scientists, the relationship between science and religion, and encephalitis lethargica. Keywords:Astrophysics;Ballistics;Cosmology;Christianity;Encephalitis lethargica;History of 20th Century Science;Stellar Atmospheres;Kinematic Relativity;Time Scales;Anti-Aircraft Gunnery;Listening Trumpets;Armour Plating;Royal Astronomical Society;Royal Meteorological Society;Royal Navy;Radcliffe ObservatoryKey Features:First full length biography of E A Milne, with an introduction by Sir Roger PenroseThe book presents the life of a scientist through his personal interaction with people, e.g. the critical influence of A V Hill and World War I, and with events, e.g. dining at Trinity's High Table took Milne into astrophysics. Well-known figures, such as Einstein, Hubble, Rutherford, Cherwell and Churchill also come in to the storyMilne survived encephalitis lethargica, yet reached intellectual pinnacles. Although later Parkinsonism aged him prematurely, his brain was not affectedReviews: “I highly recommend the book (which contains more than enough references, to both primary and secondary sources, for those wanting to learn more about Milne's work and its influence), because it does everything else very well. I recommend the book to anyone interested in astronomy, academia, or their history, it was a very enjoyable read.”The Observatory “I highly recommend it to anyone with an interest in the history of science or even just in history itself. It is not technical and so does not require any mathematics background to read. The book itself is deeply personal and yet wholly accessible. It is a terrific homage to a father who sincerely tried his best to provide for his family and to serve his country, college, and students, all while contributing a wealth of ground breaking and enduring ideas to applied mathematics.”Quantum Moxie “It is not just the story of the man by a dutiful daughter, but a true work of scholarship, aided by the countless experts she has consulted. Meg Weston Smith is to be thanked for informing us with such panache of the struggles and truimphs of her remarkable father.”LMS Newsletter
Download or read book Spacetime written by Marcus Kriele and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most of exciting aspects is the general relativity pred- tion of black holes and the Such Big Bang. predictions gained weight the theorems through Penrose. singularity pioneered In various by te- books on theorems general relativity singularity are and then presented used to that black holes exist and that the argue universe started with a To date what has big been is bang. a critical of what lacking analysis these theorems predict-’ We of really give a proof a typical singul- theorem and this ity use theorem to illustrate problems arising through the of possibilities violations" and "causality weak "shell very crossing These singularities". add to the problems weight of view that the point theorems alone singularity are not sufficient to the existence of predict physical singularities. The mathematical theme of the book In order to both solid gain a of and intuition understanding good for any mathematical theory, one,should to realise it as model of try a a fam- iar non-mathematical theories have had concept. Physical an especially the important on of and impact development mathematics, conversely various modern theories physical rather require sophisticated mathem- ics for their formulation. both and mathematics Today, physics are so that it is often difficult complex to master the theories in both very s- in the of jects. However, case differential pseudo-Riemannian geometry or the general relativity between and mathematics relationship physics is and it is therefore especially close, to from interd- possible profit an ciplinary approach.
Download or read book Cycles of Time written by Roger Penrose and published by Vintage. This book was released on 2011-09-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Nobel prize-winner Roger Penrose, this groundbreaking book is for anyone "who is interested in the world, how it works, and how it got here" (New York Journal of Books). Penrose presents a new perspective on three of cosmology’s essential questions: What came before the Big Bang? What is the source of order in our universe? And what cosmic future awaits us? He shows how the expected fate of our ever-accelerating and expanding universe—heat death or ultimate entropy—can actually be reinterpreted as the conditions that will begin a new “Big Bang.” He details the basic principles beneath our universe, explaining various standard and non-standard cosmological models, the fundamental role of the cosmic microwave background, the paramount significance of black holes, and other basic building blocks of contemporary physics. Intellectually thrilling and widely accessible, Cycles of Time is a welcome new contribution to our understanding of the universe from one of our greatest mathematicians and thinkers.
Book Synopsis Foundations of Space-Time Theories by : John Earman
Download or read book Foundations of Space-Time Theories written by John Earman and published by U of Minnesota Press. This book was released on 1977-11-25 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Space-Time Theories was first published in 1977. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The essays in this volume are based on the papers given at a conference on the philosophical aspects of the space-time theory held under the auspices of the Minnesota Center for Philosophy of Science.
Book Synopsis Conformal Methods in General Relativity by : Juan A. Valiente Kroon
Download or read book Conformal Methods in General Relativity written by Juan A. Valiente Kroon and published by Cambridge University Press. This book was released on 2023-01-31 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.
Book Synopsis Foundations of Space-Time Theories by : Michael Friedman
Download or read book Foundations of Space-Time Theories written by Michael Friedman and published by Princeton University Press. This book was released on 2014-07-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, explores the conceptual foundations of Einstein's theory of relativity: the fascinating, yet tangled, web of philosophical, mathematical, and physical ideas that is the source of the theory's enduring philosophical interest. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Relativity and Gravitation by : Jiří Bičák
Download or read book Relativity and Gravitation written by Jiří Bičák and published by Springer. This book was released on 2014-06-06 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: In early April 1911 Albert Einstein arrived in Prague to become full professor of theoretical physics at the German part of Charles University. It was there, for the first time, that he concentrated primarily on the problem of gravitation. Before he left Prague in July 1912 he had submitted the paper “Relativität und Gravitation: Erwiderung auf eine Bemerkung von M. Abraham” in which he remarkably anticipated what a future theory of gravity should look like. At the occasion of the Einstein-in-Prague centenary an international meeting was organized under a title inspired by Einstein's last paper from the Prague period: "Relativity and Gravitation, 100 Years after Einstein in Prague". The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation and conceptual and historical issues. The conference attracted over 200 scientists from 31 countries, among them a number of leading experts in the field of general relativity and its applications. This volume includes abstracts of the plenary talks and full texts of contributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors. Full texts of the plenary talks are included in the volume "General Relativity, Cosmology and Astrophysics--Perspectives 100 Years after Einstein in Prague", eds. J. Bičák and T. Ledvinka, published also by Springer Verlag.
Author :Alfonso García-Parrado Publisher :Springer Science & Business Media ISBN 13 :3642401570 Total Pages :457 pages Book Rating :4.6/5 (424 download)
Book Synopsis Progress in Mathematical Relativity, Gravitation and Cosmology by : Alfonso García-Parrado
Download or read book Progress in Mathematical Relativity, Gravitation and Cosmology written by Alfonso García-Parrado and published by Springer Science & Business Media. This book was released on 2013-11-26 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains contributions from the Spanish Relativity Meeting, ERE 2012, held in Guimarães, Portugal, September 2012. It features more than 70 papers on a range of topics in general relativity and gravitation, from mathematical cosmology, numerical relativity and black holes to string theory and quantum gravity. Under the title "Progress in Mathematical Relativity, Gravitation and Cosmology," ERE 2012 was attended by an exceptional international list of over a hundred participants from the five continents and over forty countries. ERE is organized every year by one of the Spanish or Portuguese groups working in this area and is supported by the Spanish Society of Gravitation and Relativity (SEGRE). This book will be of interest to researchers in mathematics and physics.
Download or read book Beyond Einstein written by David E. Rowe and published by Birkhäuser. This book was released on 2018-06-18 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology explores the rich interplay between mathematical and physical ideas by studying the interactions of major actors and the roles of important research communities over the course of the last century.
Book Synopsis Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields by : Roger Penrose
Download or read book Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields written by Roger Penrose and published by Cambridge University Press. This book was released on 1984 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1 introduces and systematically develops the calculus in a first detailed exposition of this technique which provides shortcuts for some very tedious calculations.
Book Synopsis Inertia and Gravitation by : Herbert Pfister
Download or read book Inertia and Gravitation written by Herbert Pfister and published by Springer. This book was released on 2015-02-24 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the phenomena of inertia and gravitation, one objective being to shed some new light on the basic laws of gravitational interaction and the fundamental nature and structures of spacetime. Chapter 1 is devoted to an extensive, partly new analysis of the law of inertia. The underlying mathematical and geometrical structure of Newtonian spacetime is presented from a four-dimensional point of view, and some historical difficulties and controversies - in particular the concepts of free particles and straight lines - are critically analyzed, while connections to projective geometry are also explored. The relativistic extensions of the law of gravitation and its intriguing consequences are studied in Chapter 2. This is achieved, following the works of Weyl, Ehlers, Pirani and Schild, by adopting a point of view of the combined conformal and projective structure of spacetime. Specifically, Mach’s fundamental critique of Newton’s concepts of ‘absolute space’ and ‘absolute time’ was a decisive motivation for Einstein’s development of general relativity, and his equivalence principle provided a new perspective on inertia. In Chapter 3 the very special mathematical structure of Einstein’s field equations is analyzed, and some of their remarkable physical predictions are presented. By analyzing different types of dragging phenomena, Chapter 4 reviews to what extent the equivalence principle is realized in general relativity - a question intimately connected to the ‘new force’ of gravitomagnetism, which was theoretically predicted by Einstein and Thirring but which was only recently experimentally confirmed and is thus of current interest.
