Classical General Relativity

Classical General Relativity
Author: Subrahmanyan Chandrasekhar
Publisher: Clarendon Press
Total Pages: 130
Release: 1993
Genre: Science
ISBN:

Because of the vicissitudes of history, the general theory of relativity has never been consistently explored to ascertain whether, in its realm of exact validity, it predicts phenomena which have no counterparts in the Newtonian limit, that is in the limit in which the velocity of light may be considered infinite. Thus, while recent interest in physics has concentrated on such 'frontier areas' as quantum gravity and cosmology, there has also been a quiet but steady progress in the classical domain. The five papers collected in this volume, and presented under the editorship of the famed Nobel Laureate S. Chandrasekhar, illustrate the nature of these advances. Each of them represents developments in areas both of physics and mathematics which disclose unanticipated findings that illustrate the special character of work in these areas. Astrophysicists and mathematical relativists will welcome this unique look at ongoing research.

Classical General Relativity

Classical General Relativity
Author: W. B. Bonnor
Publisher: CUP Archive
Total Pages: 296
Release: 1984-09-13
Genre: Science
ISBN: 9780521267472

This volume is made up of papers presented at the Conference on Classical General Relativity held at the City University, London, in December 1983. New tests, arising from space experimentation, pulsars and black holes have revitalised the study of Einstein's theory of gravitation (classical general relativity). Nineteen contributors survey recent progress and identify future avenues of research.

Classical Fields: General Relativity And Gauge Theory

Classical Fields: General Relativity And Gauge Theory
Author: Moshe Carmeli
Publisher: World Scientific Publishing Company
Total Pages: 669
Release: 2001-11-28
Genre: Science
ISBN: 9813105909

This invaluable book presents gravitation and gauge fields as interrelated topics with a common physical and mathematical foundation, such as gauge theory of gravitation and other fields, giving emphasis to the physicist's point of view.About half of the material is devoted to Einstein's general relativity theory, and the rest to gauge fields that naturally blend well with gravitation, including spinor formulation, classification of SU(2) gauge fields and null-tetrad formulation of the Yang-Mills field in the presence of gravitation.The text includes a useful introduction to the physical foundation of the theory of gravitation. It also provides the mathematical theory of the geometry of curved space-times needed to describe Einstein's general relativity theory.

Special Relativity and Classical Field Theory

Special Relativity and Classical Field Theory
Author: Leonard Susskind
Publisher: Basic Books
Total Pages: 295
Release: 2017-09-26
Genre: Science
ISBN: 0465093353

The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths.

A First Course in General Relativity

A First Course in General Relativity
Author: Bernard Schutz
Publisher: Cambridge University Press
Total Pages: 411
Release: 2009-05-14
Genre: Science
ISBN: 0521887054

Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.

General Relativity

General Relativity
Author: Steven Carlip
Publisher: Oxford University Press
Total Pages: 160
Release: 2019-01-17
Genre: Science
ISBN: 0192555340

Einstein's general theory of relativity — currently our best theory of gravity — is important not only to specialists, but to a much wider group of physicists. This short textbook on general relativity and gravitation offers students glimpses of the vast landscape of science connected to general relativity. It incorporates some of the latest research in the field. The book is aimed at readers with a broad range of interests in physics, from cosmology, to gravitational radiation, to high energy physics, to condensed matter theory. The pedagogical approach is "physics first": readers move very quickly to the calculation of observational predictions, and only return to the mathematical foundations after the physics is established. In addition to the "standard" topics covered by most introductory textbooks, it contains short introductions to more advanced topics: for instance, why field equations are second order, how to treat gravitational energy, and what is required for a Hamiltonian formulation of general relativity. A concluding chapter discusses directions for further study, from mathematical relativity, to experimental tests, to quantum gravity. This is an introductory text, but it has also been written as a jumping-off point for readers who plan to study more specialized topics.

The Mathematical Structure of Classical and Relativistic Physics

The Mathematical Structure of Classical and Relativistic Physics
Author: Enzo Tonti
Publisher: Springer Science & Business Media
Total Pages: 537
Release: 2013-09-07
Genre: Science
ISBN: 1461474221

The theories describing seemingly unrelated areas of physics have surprising analogies that have aroused the curiosity of scientists and motivated efforts to identify reasons for their existence. Comparative study of physical theories has revealed the presence of a common topological and geometric structure. The Mathematical Structure of Classical and Relativistic Physics is the first book to analyze this structure in depth, thereby exposing the relationship between (a) global physical variables and (b) space and time elements such as points, lines, surfaces, instants, and intervals. Combining this relationship with the inner and outer orientation of space and time allows one to construct a classification diagram for variables, equations, and other theoretical characteristics. The book is divided into three parts. The first introduces the framework for the above-mentioned classification, methodically developing a geometric and topological formulation applicable to all physical laws and properties; the second applies this formulation to a detailed study of particle dynamics, electromagnetism, deformable solids, fluid dynamics, heat conduction, and gravitation. The third part further analyses the general structure of the classification diagram for variables and equations of physical theories. Suitable for a diverse audience of physicists, engineers, and mathematicians, The Mathematical Structure of Classical and Relativistic Physics offers a valuable resource for studying the physical world. Written at a level accessible to graduate and advanced undergraduate students in mathematical physics, the book can be used as a research monograph across various areas of physics, engineering and mathematics, and as a supplemental text for a broad range of upper-level scientific coursework.

Relativity and Cosmology

Relativity and Cosmology
Author: Kip S. Thorne
Publisher: Princeton University Press
Total Pages: 416
Release: 2021-06-15
Genre: Science
ISBN: 0691207399

A groundbreaking textbook on twenty-first-century general relativity and cosmology Kip Thorne and Roger Blandford’s monumental Modern Classical Physics is now available in five stand-alone volumes that make ideal textbooks for individual graduate or advanced undergraduate courses on statistical physics; optics; elasticity and fluid dynamics; plasma physics; and relativity and cosmology. Each volume teaches the fundamental concepts, emphasizes modern, real-world applications, and gives students a physical and intuitive understanding of the subject. Relativity and Cosmology is an essential introduction to the subject, including remarkable recent advances. Written by award-winning physicists who have made fundamental contributions to the field and taught it for decades, the book differs from most others on the subject in important ways. It highlights recent transformations in our understanding of black holes, gravitational waves, and the cosmos; it emphasizes the physical interpretation of general relativity in terms of measurements made by observers; it explains the physics of the Riemann tensor in terms of tidal forces, differential frame dragging, and associated field lines; it presents an astrophysically oriented description of spinning black holes; it gives a detailed analysis of an incoming gravitational wave’s interaction with a detector such as LIGO; and it provides a comprehensive, in-depth account of the universe’s evolution, from its earliest moments to the present. While the book is designed to be used for a one-quarter or full-semester course, it goes deep enough to provide a foundation for understanding and participating in some areas of cutting-edge research. Includes many exercise problems Features color figures, suggestions for further reading, extensive cross-references, and a detailed index Optional “Track 2” sections make this an ideal book for a one-quarter or one-semester course An online illustration package is available to professors The five volumes, which are available individually as paperbacks and ebooks, are Statistical Physics; Optics; Elasticity and Fluid Dynamics; Plasma Physics; and Relativity and Cosmology.

Covariant Physics

Covariant Physics
Author: Moataz Emam
Publisher: Oxford University Press, USA
Total Pages: 403
Release: 2021-02-21
Genre: Science
ISBN: 0198864892

A textbook for 2nd and 3rd year undergraduate students using the fundamental principle of covariance as a basis for studying classical mechanics, electrodynamics, the special theory of relativity, and the general theory of relativity, before moving on to more advanced topics of field theory, differential forms, and modified theories of gravity.