Fundamentals Of Special And General Relativity
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Fundamentals Of Special And General Relativity Revised Edition
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Author : KRORI, K. D.
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date :
Fundamentals Of Special And General Relativity Revised Edition written by KRORI, K. D. and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
Relativity, apart from quantum mechanics, is the greatest wonder in science, unfolded single-handedly in the 20th century by Albert Einstein. The scientist developed general relativity as a logical sequel to special relativity. This comprehensive book presents explication of the conceptual evolution and mathematical derivations of the theories of special and general relativity. The book follows an Einsteinian approach while explaining the concepts and the theories of relativity. Divided into 14 chapters, the revised edition of the book covers elementary concepts of Special relativity, as well as the advanced studies on General relativity. The recent theories like Kerr geometry, Sagnac effect, Vaidya geometry, Raychaudhuri equation and Gravitation physics vis-à-vis Quantum physics are presented in easy-to-understand language and simple style. In addition to it, the book gives an in-depth analysis on the applications of advanced theories like Vaidya-Krori-Barua solution from author’s own research works. Apart from that, the book also discusses some of the isotropic and anisotropic cosmological models, in detail. The salient topics discussed in the revised edition of the book are extrinsic curvature, detection of gravitational waves, early universe, evolution of a dead star into a white dwarf or a neutron star or a black hole, dark matter and dark energy. This book is intended for the undergraduate and postgraduate students of Physics and Mathematics. KEY FEATURES • Step-by-step derivation of equations • Easy demagogic approach • Review questions to widen the analytical understanding of the students
The Physical And Mathematical Foundations Of The Theory Of Relativity
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Author : Antonio Romano
language : en
Publisher: Springer Nature
Release Date : 2019-09-25
The Physical And Mathematical Foundations Of The Theory Of Relativity written by Antonio Romano and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-25 with Science categories.
This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.
General Relativity
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Author : Robert M. Wald
language : en
Publisher: University of Chicago Press
Release Date : 2010-05-15
General Relativity written by Robert M. Wald 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 2010-05-15 with Science categories.
"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today
Special And General Relativity An Introduction To Spacetime And Gravitation
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Author : Rainer Dick
language : en
Publisher: Morgan & Claypool
Release Date : 2019-02-07
Special And General Relativity An Introduction To Spacetime And Gravitation written by Rainer Dick and has been published by Morgan & Claypool this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-07 with Science categories.
This book provides a concise introduction to the special theory of relativity and the general theory of relativity. The format has been chosen to provide the basis for a single semester course that can take the students all the way from the foundations of special relativity to the core results of general relativity: the Einstein equation, and the equations of motion for particles and light in curved spacetime. To facilitate access to the topics of special and general relativity for science and engineering students, without prior training in relativity or geometry, the relevant geometric notions are also introduced.
On General Relativity
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Author : André Mercier
language : en
Publisher:
Release Date : 1979
On General Relativity written by André Mercier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with General relativity (Physics) categories.
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.
General Relativity
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Author : Ghanashyam Date
language : en
Publisher: CRC Press
Release Date : 2014-12-03
General Relativity written by Ghanashyam Date and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-03 with Science categories.
A Broad Perspective on the Theory of General Relativity and Its Observable Implications General Relativity: Basics and Beyond familiarizes students and beginning researchers with the basic features of the theory of general relativity as well as some of its more advanced aspects. Employing the pedagogical style of a textbook, it includes essential ideas and just enough background material needed for readers to appreciate the issues and current research. Basics The first five chapters form the core of an introductory course on general relativity. The author traces Einstein’s arguments and presents examples of space-times corresponding to different types of gravitational fields. He discusses the adaptation of dynamics in a Riemannian geometry framework, the Einstein equation and its elementary properties, and different phenomena predicted or influenced by general relativity. Beyond Moving on to more sophisticated features of general relativity, the book presents the physical requirements of a well-defined deterministic framework for non-gravitational dynamics and describes the characterization of asymptotic space-times. After covering black holes, gravitational waves, and cosmological space-times, the book examines the evolutionary interpretation for the class of globally hyperbolic space-times, explores numerical relativity, and discusses approaches that address the challenges of general relativity.
Special General Relativity
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Author : Preetinder Rahil
language : en
Publisher:
Release Date : 2019-06-15
Special General Relativity written by Preetinder Rahil and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-15 with categories.
Relativity is a triumph of the power of human thought and Einstein's greatest gift to mankind. It is a fascinating but difficult theory to understand. Mathematics is intimidating for a beginner. The popular books do not go into details of the subject and textbooks are just too hard for self-study. This book aims to bridge the gap between the two. The emphasis of this book is to explain the meaning and intuition behind concepts and mathematics. There is extensive use of analogies from daily life to develop visualization and intuition. This book is well suited for a beginner who has limited physics and mathematics background. The biggest barrier in learning relativity is the notation, which is a language onto itself. If the meaning behind notation is not clear, it's easy to get lost in the maze of indices used in relativity. This book tries to address the reason and meaning behind relativistic notation.
General Relativity And Gravitational Waves
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Author : Sanjeev Dhurandhar
language : en
Publisher: Springer Nature
Release Date : 2022-02-16
General Relativity And Gravitational Waves written by Sanjeev Dhurandhar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-16 with Science categories.
This book serves as a textbook for senior undergraduate students who are learning the subject of general relativity and gravitational waves for the first time. Both authors have been teaching the course in various forms for a few decades and have designed the book as a one stop book at basic level including derivations and exercises. A spectacular prediction of general relativity is gravitational waves. Gravitational waves were first detected by the LIGO detectors in 2015, hundred years after their prediction. Both authors are part of the LIGO Science Collaboration and were authors on the discovery paper. Therefore, a strong motivation for this book is to provide the essential concepts of general relativity theory and gravitational waves with their modern applications to students and to researchers who are new to the multi-disciplinary field of gravitational wave astronomy. One of the advanced topics covered in this book is the fundamentals of gravitational wave data analysis, filling a gap in textbooks on general relativity. The topic blends smoothly with other chapters in the book not only because of the common area of research, but it uses similar differential geometric and algebraic tools that are used in general relativity.
Relativity
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Author : Hans Stephani
language : en
Publisher: Cambridge University Press
Release Date : 2004-02-12
Relativity written by Hans Stephani 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 2004-02-12 with Science categories.
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