Introduction to Relativity Volume I

Introduction to Relativity Volume I

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  • Author: Paul Bruma
  • Publisher: CRC Press
  • ISBN: 1000632539
  • Category : Science
  • Languages : en
  • Pages : 267

E=mc2 is known as the most famous but least understood equation in physics. This two-volume textbook illuminates this equation and much more through clear and detailed explanations, new demonstrations, a more physical approach, and a deep analysis of the concepts and postulates of Relativity. The first part of Volume I contains the whole Special Relativity theory with rigorous and complete demonstrations. The second part presents the main principles of General Relativity, including detailed explanations of the bending of light in the neighborhood of great masses, the gravitational time dilatation, and the principles leading to the famous equation of General Relativity: D(g) = k .T. The most important cosmological predictions are then described: the Big Bang theory, black holes, and gravitational waves. Plentiful historical information is contained throughout the book, particularly in an ending chapter depicting the scientific and epistemological revolution brought about by the theory of Relativity. Both volumes place an emphasis on the physical aspects of Relativity to aid the reader’s understanding and contain numerous questions and problems (147 in total). Solutions are given in a highly detailed manner to provide the maximum benefit to students. This textbook fills a gap in the literature by drawing out the physical aspects and consequences of Relativity, which are otherwise often second place to the mathematical aspects. Its concrete focus on physics allows students to gain a full understanding of the underlying concepts and cornerstones of Relativity.


Introduction to Relativity

Introduction to Relativity

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  • Author: John B. Kogut
  • Publisher: Academic Press
  • ISBN: 0080924085
  • Category : Science
  • Languages : en
  • Pages : 178

Introduction to Relativity is intended to teach physics and astronomy majors at the freshman, sophomore or upper-division levels how to think about special and general relativity in a fundamental, but accessible, way. Designed to render any reader a "master of relativity", everything on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. Simplicity: the book teaches space and time in relativity in a physical fashion with minimal mathematics Conciseness: the book teaches relativity by emphasizing the basic simplicity of the principles at work Visualization: space-time diagrams (Minkowski) illustrate phenomena from simultaneity to the resolution of the twin paradox in a concrete fashion Worked problems: two chapters of challenging problems solved in several ways illustrate and teach the principles Problem sets: each chapter is accompanied by a full set of problems for the student that teach the principles and some new phenonmena


Introduction to Relativity

Introduction to Relativity

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  • Author: William D. McGlinn
  • Publisher: JHU Press
  • ISBN: 0801877733
  • Category : Science
  • Languages : en
  • Pages : 228

Special relativity is a cornerstone of the structure of all fundamental theories, and general relativity has blossomed from Einstein's original theory into a cutting-edge applied science. Applications of Einstein's field equations describe such phenomena as supermassive black holes at the center of galaxies, the spiraling paths of binary pulsars, gravitational lensing caused by massive compact halo objects (Macho's), and the possibility of detecting gravitational waves emitted in cataclysmic cosmic events. In Introduction to Relativity, physics teacher and researcher Bill McGlinn explains the fundamental concepts of Einstein's special and general theories of relativity. He describes the basic consequences of special relativity—length contraction and time dilation—and the enigma of the twin paradox, as well as the Doppler shift of light. Relativistic dynamics is contrasted to Newtonian dynamics, followed by a discussion of relativistic tensor fields, including those of the electromagnetic field and the energy-momentum density of fluids. After a study of Einstein's early attempt at incorporating the equivalence principle into physics, McGlinn presents the general theory of relativity, discussing the three classic tests of relativity: the deflection of light by a gravitational field; the precession of perihelia; and the gravitational redshift of light. He also discusses other important applications, such as the dynamics of orbiting gyroscopes, the properties of stellar interiors, and black holes. The book ends with a chapter on cosmology, which includes discussions of kinematics and dynamics of the famed Robertson-Walker metric, Hubble's constant, cosmological constant, and cosmic microwave background radiation. For anyone seeking a brief, clear overview of modern general relativity which emphasizes physics over mathematics, McGlinn's Introduction to Relativity is indispensable.


Introduction to Special Relativity

Introduction to Special Relativity

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  • Author: James H. Smith
  • Publisher: Courier Dover Publications
  • ISBN: 0486808963
  • Category : Science
  • Languages : en
  • Pages : 240

By the year 1900, most of physics seemed to be encompassed in the two great theories of Newtonian mechanics and Maxwell's theory of electromagnetism. Unfortunately, there were inconsistencies between the two theories that seemed irreconcilable. Although many physicists struggled with the problem, it took the genius of Einstein to see that the inconsistencies were concerned not merely with mechanics and electromagnetism, but with our most elementary ideas of space and time. In the special theory of relativity, Einstein resolved these difficulties and profoundly altered our conception of the physical universe. Readers looking for a concise, well-written explanation of one of the most important theories in modern physics need search no further than this lucid undergraduate-level text. Replete with examples that make it especially suitable for self-study, the book assumes only a knowledge of algebra. Topics include classical relativity and the relativity postulate, time dilation, the twin paradox, momentum and energy, particles of zero mass, electric and magnetic fields and forces, and more.


Relativity, Gravitation and Cosmology

Relativity, Gravitation and Cosmology

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  • Author: Ta-Pei Cheng
  • Publisher: Oxford University Press
  • ISBN: 0199573638
  • Category : Science
  • Languages : en
  • Pages : 452

An introduction to Einstein's general theory of relativity, this work is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus.


General Relativity

General Relativity

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  • Author: M. P. Hobson
  • Publisher: Cambridge University Press
  • ISBN: 9780521829519
  • Category : Science
  • Languages : en
  • Pages : 600

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.


Introduction to the Theory of Relativity

Introduction to the Theory of Relativity

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  • Author: Peter Gabriel Bergmann
  • Publisher: Courier Corporation
  • ISBN: 9780486632827
  • Category : Science
  • Languages : en
  • Pages : 340

Comprehensive coverage of special theory (frames of reference, Lorentz transformation, more), general theory (principle of equivalence, more) and unified theory (Weyl's gauge-invariant geometry, more.) Foreword by Albert Einstein.


Introduction to General Relativity

Introduction to General Relativity

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  • Author: R. Parthasarathy
  • Publisher:
  • ISBN: 9781842659496
  • Category : Science
  • Languages : en
  • Pages : 0

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.


An Introduction to General Relativity

An Introduction to General Relativity

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  • Author: L. P. Hughston
  • Publisher: Cambridge University Press
  • ISBN: 9780521339438
  • Category : Mathematics
  • Languages : en
  • Pages : 196

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.


Introducing Einstein's Relativity

Introducing Einstein's Relativity

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  • Author: Ray D'Inverno
  • Publisher:
  • ISBN:
  • Category : Black holes (Astronomy)
  • Languages : en
  • Pages : 383