Foundations Of General Relativity
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Foundations Of General Relativity
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Author : Klaas Landsman
language : en
Publisher: Radboud University Press
Release Date : 2021-10-08
Foundations Of General Relativity written by Klaas Landsman and has been published by Radboud University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-08 with Science categories.
This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.
Topics In The Foundations Of General Relativity And Newtonian Gravitation Theory
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Author : David B. Malament
language : en
Publisher: University of Chicago Press
Release Date : 2012-04-02
Topics In The Foundations Of General Relativity And Newtonian Gravitation Theory written by David B. Malament and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-02 with Science categories.
In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.
One Hundred Years Of General Relativity From Genesis And Empirical Foundations To Gravitational Waves Cosmology And Quantum Gravity Volume 1
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Author : Wei-tou Ni
language : en
Publisher: World Scientific
Release Date : 2017-05-26
One Hundred Years Of General Relativity From Genesis And Empirical Foundations To Gravitational Waves Cosmology And Quantum Gravity Volume 1 written by Wei-tou Ni and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-26 with Science categories.
The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory: The first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic.
One Hundred Years Of General Relativity From Genesis And Empirical Foundations To Gravitational Waves Cosmology And Quantum Gravity Volume 2
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Author : Wei-tou Ni
language : en
Publisher: World Scientific
Release Date : 2017-05-26
One Hundred Years Of General Relativity From Genesis And Empirical Foundations To Gravitational Waves Cosmology And Quantum Gravity Volume 2 written by Wei-tou Ni and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-26 with Science categories.
The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory: The first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic.
General Relativity
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Author : Norbert Straumann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-08
General Relativity written by Norbert Straumann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-08 with Science categories.
This book provides a completely revised and expanded version of the previous classic edition ‘General Relativity and Relativistic Astrophysics’. In Part I the foundations of general relativity are thoroughly developed, while Part II is devoted to tests of general relativity and many of its applications. Binary pulsars – our best laboratories for general relativity – are studied in considerable detail. An introduction to gravitational lensing theory is included as well, so as to make the current literature on the subject accessible to readers. Considerable attention is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel’s proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten’s proof of the positive energy theorem, which is presented in detail, together with the required tools on spin structures and spinor analysis. In Part III, all of the differential geometric tools required are developed in detail. A great deal of effort went into refining and improving the text for the new edition. New material has been added, including a chapter on cosmology. The book addresses undergraduate and graduate students in physics, astrophysics and mathematics. It utilizes a very well structured approach, which should help it continue to be a standard work for a modern treatment of gravitational physics. The clear presentation of differential geometry also makes it useful for work on string theory and other fields of physics, classical as well as quantum.
The Physical Foundations Of General Relativity
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Author : Dennis William Sciama
language : en
Publisher:
Release Date : 1969
The Physical Foundations Of General Relativity written by Dennis William Sciama and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with General relativity (Physics) categories.
Spacetime
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Author : Marcus Kriele
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01
Spacetime written by Marcus Kriele and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.
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.
A Student S Guide To Einstein S Major Papers
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Author : Robert E Kennedy
language : en
Publisher: Oxford University Press
Release Date : 2012-01-19
A Student S Guide To Einstein S Major Papers written by Robert E Kennedy and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-19 with Biography & Autobiography categories.
In 1905 Albert Einstein produced breakthrough work in three major areas of physics (atoms and Brownian motion, quanta, and the special theory of relativity), followed, in 1916, by the general theory of relativity. This book develops the detail of the papers, including the mathematics, to guide the reader in working through them.
Foundations Of Space Time Theories
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Author : Michael Friedman
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14
Foundations Of Space Time Theories written by Michael Friedman and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Science categories.
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.
Foundations Of Quantum Gravity
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Author : James Lindesay
language : en
Publisher: Cambridge University Press
Release Date : 2013-05-16
Foundations Of Quantum Gravity written by James Lindesay and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-16 with Science categories.
Exploring how the subtleties of quantum coherence can be consistently incorporated into Einstein's theory of gravitation, this book is ideal for researchers interested in the foundations of relativity and quantum physics. The book examines those properties of coherent gravitating systems that are most closely connected to experimental observations. Examples of consistent co-gravitating quantum systems whose overall effects upon the geometry are independent of the coherence state of each constituent are provided, and the properties of the trapping regions of non-singular black objects, black holes and a dynamic de Sitter cosmology are discussed analytically, numerically and diagrammatically. The extensive use of diagrams to summarise the results of the mathematics enables readers to bypass the need for a detailed understanding of the steps involved. Assuming some knowledge of quantum physics and relativity, the book provides text boxes featuring supplementary information for readers particularly interested in the philosophy and foundations of the physics.