[PDF] Introducing General Relativity eBook

Author : Mark Hindmarsh
Publisher : John Wiley & Sons
Page : 292 pages
File Size : 30,27 MB
Release : 2022-04-25
Category : Science
ISBN : 1118600711

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Introducing General Relativity An accessible and engaging introduction to general relativity for undergraduates In Introducing General Relativity, the authors deliver a structured introduction to the core concepts and applications of General Relativity. The book leads readers from the basic ideas of relativity—including the Equivalence Principle and curved space-time—to more advanced topics, like Solar System tests and gravitational wave detection. Each chapter contains practice problems designed to engage undergraduate students of mechanics, electrodynamics, and special relativity. A wide range of classical and modern topics are covered in detail, from exploring observational successes and astrophysical implications to explaining many popular principles, like space-time, redshift, black holes, gravitational waves and cosmology. Advanced topic sections introduce the reader to more detailed mathematical approaches and complex ideas, and prepare them for the exploration of more specialized and sophisticated texts. Introducing General Relativity also offers: Structured outlines to the concepts of General Relativity and a wide variety of its applications Comprehensive explorations of foundational ideas in General Relativity, including space-time curvature and tensor calculus Practical discussions of classical and modern topics in relativity, from space-time to redshift, gravity, black holes, and gravitational waves Optional, in-depth sections covering the mathematical approaches to more advanced ideas Perfect for undergraduate physics students who have studied mechanics, dynamics, and Special Relativity, Introducing General Relativity is an essential resource for those seeking an intermediate level discussion of General Relativity placed between the more qualitative books and graduate-level textbooks.

Author : Cosimo Bambi
Publisher : Springer
Page : 335 pages
File Size : 39,42 MB
Release : 2018-06-18
Category : Science
ISBN : 9811310904

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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.

Author : James B. Hartle
Publisher : Cambridge University Press
Page : 605 pages
File Size : 33,65 MB
Release : 2021-06-24
Category : Science
ISBN : 1316517543

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Best-selling, accessible physics-first introduction to GR uses minimal new mathematics and begins with the essential physical applications.

Author : L. P. Hughston
Publisher : Cambridge University Press
Page : 196 pages
File Size : 42,24 MB
Release : 1990
Category : Mathematics
ISBN : 9780521339438

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This textbook provides an introduction to general relativity for mathematics undergraduates or graduate physicists. After a review of Cartesian tensor notation and special relativity the concepts of Riemannian differential geometry are introducted. More emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition. General relativity is then presented as a relativistic theory of gravity reducing in the appropriate limits to Newtonian gravity or special relativity. The Schwarzchild solution is derived and the gravitational red-shift, time dilation and classic tests of general relativity are discussed. There is a brief account of gravitational collapse and black holes based on the extended Schwarzchild solution. Other vacuum solutions are described, motivated by their counterparts in linearised general relativity. The book ends with chapters on cosmological solutions to the field equations. There are exercises attached to each chapter, some of which extend the development given in the text.

Author : Hans Stephani
Publisher : Cambridge University Press
Page : 340 pages
File Size : 26,24 MB
Release : 1990-06-29
Category : Science
ISBN : 9780521379410

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This is an excellent introduction to the subjects of gravitation and space-time structure. It discusses the foundations of Riemann geometry; the derivation of Einstein field equations; linearised theory; far fields and gravitational waves; the invariant characterisation of exact solutions; gravitational collapse; cosmology as well as alternative gravitational theories and the problem of quantum gravity.

Author : Sean M. Carroll
Publisher : Cambridge University Press
Page : 529 pages
File Size : 10,58 MB
Release : 2019-08-08
Category : Science
ISBN : 1108488390

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An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.

Author : John Dirk Walecka
Publisher : World Scientific
Page : 355 pages
File Size : 36,54 MB
Release : 2007
Category : Science
ISBN : 9812705848

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A working knowledge of Einstein's theory of general relativity is an essential tool for every physicist today. This self-contained book is an introductory text on the subject aimed at first-year graduate students, or advanced undergraduates, in physics that assumes only a basic understanding of classical Lagrangian mechanics. The mechanics problem of a point mass constrained to move without friction on a two-dimensional surface of arbitrary shape serves as a paradigm for the development of the mathematics and physics of general relativity. After reviewing special relativity, the basic principles of general relativity are presented, and the most important applications are discussed. The final special topics section guides the reader through a few important areas of current research.This book will allow the reader to approach the more advanced texts and monographs, as well as the continual influx of fascinating new experimental results, with a deeper understanding and sense of appreciation.

Author : Yvonne Choquet-Bruhat
Publisher : Oxford University Press, USA
Page : 301 pages
File Size : 37,17 MB
Release : 2015
Category : Mathematics
ISBN : 0199666466

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A precise yet simple introduction to the foundations and main consequences of General Relativity. The first five chapters from Choquet-Bruhat's General Relativity and the Einstein Equations (2008) have been updated with new sections and chapters on black holes, gravitational waves, singularities and more to form this textbook.