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


Introduction to General Relativity

Introduction to General Relativity

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  • Author: Cosimo Bambi
  • Publisher: Springer
  • ISBN: 9811310904
  • Category : Science
  • Languages : en
  • Pages : 335

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.


Introducing General Relativity

Introducing General Relativity

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  • Author: Mark Hindmarsh
  • Publisher: John Wiley & Sons
  • ISBN: 1118600711
  • Category : Science
  • Languages : en
  • Pages : 292

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.


Gravity

Gravity

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  • Author: James B. Hartle
  • Publisher: Cambridge University Press
  • ISBN: 1009051334
  • Category : Science
  • Languages : en
  • Pages : 610

Renowned relativist James Hartle's fluent and accessible physics-first introduction to general relativity uses minimal new mathematics and begins with the essential physical applications. This ground-breaking text, reissued by Cambridge University Press, makes this fundamental theory accessible to virtually all physics majors.


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.


Introduction To General Relativity And Cosmology

Introduction To General Relativity And Cosmology

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  • Author: Christian G Boehmer
  • Publisher: World Scientific Publishing Company
  • ISBN: 1786341204
  • Category : Science
  • Languages : en
  • Pages : 287

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.


Introduction to General Relativity

Introduction to General Relativity

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  • Author: Lewis Ryder
  • Publisher: Cambridge University Press
  • ISBN: 1139478222
  • Category : Science
  • Languages : en
  • Pages : 443

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.


General Relativity

General Relativity

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  • Author: Hans Stephani
  • Publisher: Cambridge University Press
  • ISBN: 9780521379410
  • Category : Science
  • Languages : en
  • Pages : 340

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.


Spacetime and Geometry

Spacetime and Geometry

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  • Author: Sean M. Carroll
  • Publisher: Cambridge University Press
  • ISBN: 1108488390
  • Category : Science
  • Languages : en
  • Pages : 529

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


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