Lecture Notes On The General Theory Of Relativity
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Lecture Notes On The General Theory Of Relativity
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Author : Øyvind Grøn
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-23
Lecture Notes On The General Theory Of Relativity written by Øyvind Grøn 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 2010-03-23 with Science categories.
This book collects lectures on the general theory of relativity given by Dr. Øyvind Grøn at the University of Oslo, Norway. This accessible text allows students to follow the deductions all the way throughout the book.
Introduction To General Relativity
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Author : Cosimo Bambi
language : en
Publisher: Springer
Release Date : 2018-06-18
Introduction To General Relativity written by Cosimo Bambi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-18 with Science categories.
Following the approach of Lev Landau and Evgenii Lifshitz, this book introduces the theory of special and general relativity with the Lagrangian formalism and the principle of least action. This method allows the complete theory to be constructed starting from a small number of assumptions, and is the most natural approach in modern theoretical physics. The book begins by reviewing Newtonian mechanics and Newtonian gravity with the Lagrangian formalism and the principle of least action, and then moves to special and general relativity. Most calculations are presented step by step, as is done on the board in class. The book covers recent advances in gravitational wave astronomy and provides a general overview of current lines of research in gravity. It also includes numerous examples and problems in each chapter.
Introduction To Einstein S Theory Of Relativity
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Author : Øyvind Grøn
language : en
Publisher: Springer Nature
Release Date : 2020-05-27
Introduction To Einstein S Theory Of Relativity written by Øyvind Grøn and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-27 with Science categories.
The revised and updated 2nd edition of this established textbook provides a self-contained introduction to the general theory of relativity, describing not only the physical principles and applications of the theory, but also the mathematics needed, in particular the calculus of differential forms. Updated throughout, the book contains more detailed explanations and extended discussions of several conceptual points, and strengthened mathematical deductions where required. It includes examples of work conducted in the ten years since the first edition of the book was published, for example the pedagogically helpful concept of a "river of space" and a more detailed discussion of how far the principle of relativity is contained in the general theory of relativity. Also presented is a discussion of the concept of the 'gravitational field' in Einstein's theory, and some new material concerning the 'twin paradox' in the theory of relativity. Finally, the book contains a new section about gravitational waves, exploring the dramatic progress in this field following the LIGO observations. Based on a long-established masters course, the book serves advanced undergraduate and graduate level students, and also provides a useful reference for researchers.
Lectures On General Relativity
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Author : A. Papapetrou
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures On General Relativity written by A. Papapetrou 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 2012-12-06 with Science categories.
This book is an elaboration of lecture notes for the graduate course on General Rela tivity given by the author at Boston University in the spring semester of 1972. It is an introduction to the subject only, as the time available for the course was limited. The author of an introduction to General Relativity is faced from the beginning with the difficult task of choosing which material to include. A general criterion as sisting in this choice is provided by the didactic character of the book: Those chapters have to be included in priority, which will be most useful to the reader in enabling him to understand the methods used in General Relativity, the results obtained so far and possibly the problems still to be solved. This criterion is not sufficient to ensure a unique choice. General Relativity has developed to such a degree, that it is impossible to include in an introductory textbook of a reasonable length even a very condensed treatment of all important problems which have been discussed until now and the author is obliged to decide, in a more or less subjective manner, which of the more recent developments to omit. The following lines indicate by means of some examples the kind of choice made in this book.
Spacetime And Geometry
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Author : Sean M. Carroll
language : en
Publisher: Cambridge University Press
Release Date : 2019-08-08
Spacetime And Geometry written by Sean M. Carroll 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 2019-08-08 with Science categories.
Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology. Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how gravitational waves are generated and detected, and the modern view of the expansion of the universe. A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics.
General Relativity Without Calculus
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Author : Jose Natario
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-30
General Relativity Without Calculus written by Jose Natario 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 2011-07-30 with Science categories.
“General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding.
A Short Course In General Relativity
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Author : James A. Foster
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-30
A Short Course In General Relativity written by James A. Foster 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 2010-04-30 with Science categories.
Suitable for a one-semester course in general relativity for senior undergraduates or beginning graduate students, this text clarifies the mathematical aspects of Einstein's theory of relativity without sacrificing physical understanding. The text begins with an exposition of those aspects of tensor calculus and differential geometry needed for a proper treatment of the subject. The discussion then turns to the spacetime of general relativity and to geodesic motion. A brief consideration of the field equations is followed by a discussion of physics in the vicinity of massive objects, including an elementary treatment of black holes and rotating objects. The main text concludes with introductory chapters on gravitational radiation and cosmology. This new third edition has been updated to take account of fresh observational evidence and experiments. It includes new sections on the Kerr solution (in Chapter 4) and cosmological speeds of recession (in Chapter 6). A more mathematical treatment of tensors and manifolds, included in the 1st edition, but omitted in the 2nd edition, has been restored in an appendix. Also included are two additional appendixes – "Special Relativity Review" and "The Chinese Connection" - and outline solutions to all exercises and problems, making it especially suitable for private study.
Advanced Lectures On General Relativity
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Author : Geoffrey Compère
language : en
Publisher: Springer
Release Date : 2019-02-01
Advanced Lectures On General Relativity written by Geoffrey Compère and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-01 with Science categories.
These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are: Surface charges as conserved quantities in theories of gravity; Classical and holographic features of three-dimensional Einstein gravity; Asymptotically flat spacetimes in four dimensions: BMS group and memory effects; The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions.
Special Relativity
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Author : Ulrich E. Schrder
language : en
Publisher: World Scientific
Release Date : 1990-01-01
Special Relativity written by Ulrich E. Schrder and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Science categories.
This book provides a thorough discussion of the concepts and main consequences of special relativity. Treated in detail are the Lorentz transformations, their kinematical consequences (the so-called paradoxes), relativistic mechanics, electrodynamics as an example of a relativistic field theory, and the principal features of relativistic hydrodynamics. The book offers a logical development of special relativity from Einstein's principle of relativity alone; arrives at the essential statements of the theory by a direct approach ? this emphasis is different from that of most books; and offers a concise introduction to tensor calculus as needed in special relativity. A selection of problems and documentation of the experimental tests of special relativity are given.
Modern General Relativity
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Author : M. W. Guidry
language : en
Publisher: Cambridge University Press
Release Date : 2019-01-03
Modern General Relativity written by M. W. Guidry 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 2019-01-03 with Science categories.
Introduces the physics of general relativity in relation to modern topics such as gamma-ray bursts, black holes, and gravitational waves.