Introducing General Relativity

Author : Mark Hindmarsh,Andrew Liddle
Publisher : John Wiley & Sons
Page : 292 pages
File Size : 52,9 Mb
Release : 2022-04-25
Category : Science
ISBN : 9781118600719

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Introducing General Relativity by Mark Hindmarsh,Andrew Liddle Pdf

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 : M. P. Hobson,G. P. Efstathiou,A. N. Lasenby
Publisher : Cambridge University Press
Page : 600 pages
File Size : 43,9 Mb
Release : 2006-02-02
Category : Science
ISBN : 0521829518

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General Relativity by M. P. Hobson,G. P. Efstathiou,A. N. Lasenby Pdf

General Relativity: An Introduction for Physicists provides a clear mathematical introduction to Einstein's theory of general relativity. It presents a wide range of applications of the theory, concentrating on its physical consequences. After reviewing the basic concepts, the authors present a clear and intuitive discussion of the mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are then used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is then introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle. Written for advanced undergraduate and graduate students, this approachable textbook contains over 300 exercises to illuminate and extend the discussion in the text.

Author : R. Parthasarathy
Publisher : Unknown
Page : 0 pages
File Size : 45,8 Mb
Release : 2016-01-30
Category : Science
ISBN : 1842659499

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Introduction to General Relativity by R. Parthasarathy Pdf

Covers the geometry of curved space, geodesics, parallel transport, covariant differentiation, geodesic deviation and spacetime symmetry by Killing vectors. The book then introduces Einstein's theory of gravitation and Schwarzschild solution with its relevance to Positive Mass theorem. The three tests for Einstein's gravity are explained.

Author : Bruce Bassett
Publisher : Icon Books Ltd
Page : 259 pages
File Size : 49,8 Mb
Release : 2014-06-05
Category : Science
ISBN : 9781848317703

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Introducing Relativity by Bruce Bassett Pdf

A superlative, fascinating graphic account of Albert Einstein's strange world and how his legacy has been built upon since. It is now more than a century since Einstein's theories of Special and General Relativity began to revolutionise our view of the universe. Beginning near the speed of light and proceeding to explorations of space-time and curved spaces, Introducing Relativity plots a visually accessible course through the thought experiments that have given shape to contemporary physics. Scientists from Isaac Newton to Stephen Hawking add their unique contributions to this story, as we encounter Einstein's astounding vision of gravity as the curvature of space-time and arrive at the breathtakingly beautiful field equations. Einstein's legacy is reviewed in the most advanced frontiers of physics today - black holes, gravitational waves, the accelerating universe and string theory.

Author : G. 't Hooft
Publisher : Unknown
Page : 104 pages
File Size : 49,7 Mb
Release : 2001
Category : Science
ISBN : STANFORD:36105025213856

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Introduction to General Relativity by G. 't Hooft Pdf

A presentation of general relativity as a scheme for describing the gravitational field and the equations it obeys. Starting from physical motivations, curved co-ordinates are introduced, and then the notion of an affine connection field is added. At a later step, the metric field is added.

Author : Cosimo Bambi
Publisher : Springer
Page : 335 pages
File Size : 52,8 Mb
Release : 2018-06-18
Category : Science
ISBN : 9789811310904

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Introduction to General Relativity by Cosimo Bambi Pdf

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 : L. P. Hughston,K. P. Tod
Publisher : Cambridge University Press
Page : 196 pages
File Size : 45,7 Mb
Release : 1990
Category : Mathematics
ISBN : 052133943X

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An Introduction to General Relativity by L. P. Hughston,K. P. Tod Pdf

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 : Jerzy Plebanski,Andrzej Krasinski
Publisher : Cambridge University Press
Page : 0 pages
File Size : 52,9 Mb
Release : 2012-09-13
Category : Science
ISBN : 1107407362

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An Introduction to General Relativity and Cosmology by Jerzy Plebanski,Andrzej Krasinski Pdf

General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. Many topics are included that are not found in other textbooks.

Author : James B. Hartle
Publisher : Cambridge University Press
Page : 605 pages
File Size : 43,9 Mb
Release : 2021-06-24
Category : Science
ISBN : 9781316517543

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Gravity by James B. Hartle Pdf

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

Author : Lewis Ryder
Publisher : Cambridge University Press
Page : 443 pages
File Size : 42,5 Mb
Release : 2020-01-16
Category : Science
ISBN : 9781139478229

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Introduction to General Relativity by Lewis Ryder Pdf

A student-friendly style, over 100 illustrations, and numerous exercises are brought together in this textbook for advanced undergraduate and beginning graduate students in physics and mathematics. Lewis Ryder develops the theory of general relativity in detail. Covering the core topics of black holes, gravitational radiation, and cosmology, he provides an overview of general relativity and its modern ramifications. The book contains chapters on gravitational radiation, cosmology, and connections between general relativity and the fundamental physics of the microworld. It explains the geometry of curved spaces and contains key solutions of Einstein's equations - the Schwarzschild and Kerr solutions. Mathematical calculations are worked out in detail, so students can develop an intuitive understanding of the subject, as well as learn how to perform calculations. The book also includes topics concerned with the relation between general relativity and other areas of fundamental physics. Selected solutions for instructors are available under Resources.

Author : Christian G Boehmer
Publisher : World Scientific Publishing Company
Page : 287 pages
File Size : 53,5 Mb
Release : 2016-10-06
Category : Science
ISBN : 9781786341204

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Introduction To General Relativity And Cosmology by Christian G Boehmer Pdf

Introduction to General Relativity and Cosmology gives undergraduate students an overview of the fundamental ideas behind the geometric theory of gravitation and spacetime. Through pointers on how to modify and generalise Einstein's theory to enhance understanding, it provides a link between standard textbook content and current research in the field.Chapters present complicated material practically and concisely, initially dealing with the mathematical foundations of the theory of relativity, in particular differential geometry. This is followed by a discussion of the Einstein field equations and their various properties. Also given is analysis of the important Schwarzschild solutions, followed by application of general relativity to cosmology. Questions with fully worked answers are provided at the end of each chapter to aid comprehension and guide learning. This pared down textbook is specifically designed for new students looking for a workable, simple presentation of some of the key theories in modern physics and mathematics.

Author : N.M.J. Woodhouse
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 42,5 Mb
Release : 2007-03-06
Category : Science
ISBN : 9781846284878

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General Relativity by N.M.J. Woodhouse Pdf

Based on a course taught for years at Oxford, this book offers a concise exposition of the central ideas of general relativity. The focus is on the chain of reasoning that leads to the relativistic theory from the analysis of distance and time measurements in the presence of gravity, rather than on the underlying mathematical structure. Includes links to recent developments, including theoretical work and observational evidence, to encourage further study.

Author : Sean M. Carroll
Publisher : Cambridge University Press
Page : 529 pages
File Size : 40,5 Mb
Release : 2019-08-08
Category : Science
ISBN : 9781108488396

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Spacetime and Geometry by Sean M. Carroll Pdf

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

Author : Ray D'Inverno
Publisher : Unknown
Page : 383 pages
File Size : 42,5 Mb
Release : 1995
Category : Black holes (Astronomy)
ISBN : OCLC:62408436

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Introducing Einstein's Relativity by Ray D'Inverno Pdf

Author : Craig Callender,Ralph Edney
Publisher : Introducing
Page : 0 pages
File Size : 53,5 Mb
Release : 2010
Category : Science
ISBN : 1848311206

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Introducing Time by Craig Callender,Ralph Edney Pdf

A brilliant graphic exploration of the physics and philosophy of time.