spacetime and geometry an introduction to general relativity

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Spacetime And Geometry

Author : Sean Carroll
ISBN : 0805387323
Genre : Science
File Size : 85. 55 MB
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Spacetime And Geometry Pearson New International Edition

Author : Sean Carroll
ISBN : 9781292039015
Genre : Science
File Size : 75. 4 MB
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Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity for advanced undergraduates and graduate students. It introduces modern techniques and an accessible and lively writing style to what can often be a formal and intimidating subject. Readers are led from physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology. Subtle points are illuminated throughout the text by careful and entertaining exposition. A straightforward and lucid approach, balancing mathematical rigor and physical insight, are hallmarks of this important text.

Spacetime Geometry And Gravitation

Author : Pankaj Sharan
ISBN : 9783764399702
Genre : Mathematics
File Size : 65. 91 MB
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This introductory textbook on the general theory of relativity presents a solid foundation for those who want to learn about relativity. The subject is presented in a physically intuitive, but mathematically rigorous style. The topic of relativity is covered in a broad and deep manner. Besides, the aim is that after reading the book a student should not feel discouraged when she opens advanced texts on general relativity for further reading. The book consists of three parts: An introduction to the general theory of relativity. Geometrical mathematical background material. Topics that include the action principle, weak gravitational fields and gravitational waves, Schwarzschild and Kerr solution, and the Friedman equation in cosmology. The book is suitable for advanced graduates and graduates, but also for established researchers wishing to be educated about the field.

The Geometry Of Spacetime

Author : James J. Callahan
ISBN : 9781475767360
Genre : Science
File Size : 63. 8 MB
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Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.

Differential Geometry And Relativity Theory

Author : Richard L. Faber
ISBN : 082471749X
Genre : Mathematics
File Size : 72. 15 MB
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Differentilil Geometry and Relativity Theory: An Introduction approaches relativity asa geometric theory of space and time in which gravity is a manifestation of space-timecurvature, rathe1 than a force. Uniting differential geometry and both special and generalrelativity in a single source, this easy-to-understand text opens the general theory of relativityto mathematics majors having a backgr.ound only in multivariable calculus and linearalgebra.The book offers a broad overview of the physical foundations and mathematical details ofrelativity, and presents concrete physical interpretations of numerous abstract concepts inRiemannian geometry. The work is profusely illustrated with diagrams aiding in the understandingof proofs and explanations. Appendices feature important material on vectoranalysis and hyperbolic functions.Differential Geometry and Relativity Theory: An Introduction serves as the ideal textfor high-level undergraduate couues in mathematics and physics, and includes a solutionsmanual augmenting classroom study. It is an invaluable reference for mathematicians interestedin differential and IUemannian geometry, or the special and general theories ofrelativity

General Relativity

Author : M. P. Hobson
ISBN : 0521829518
Genre : Science
File Size : 25. 50 MB
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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.

A Companion To The Philosophy Of Time

Author : Adrian Bardon
ISBN : 9781118522059
Genre : Philosophy
File Size : 85. 92 MB
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A Companion to the Philosophy of Time presents thebroadest treatment of this subject yet; 32 specially commissionedarticles - written by an international line-up of experts –provide an unparalleled reference work for students and specialistsalike in this exciting field. The most comprehensive reference work on the philosophy of timecurrently available The first collection to tackle the historical development ofthe philosophy of time in addition to covering contemporarywork Provides a tripartite approach in its organization, coveringhistory of the philosophy of time, time as a feature of thephysical world, and time as a feature of experience Includes contributions from both distinguished,well-established scholars and rising stars in the field

Spacetime And Singularities

Author : Gregory L. Naber
ISBN : 0521336120
Genre : Mathematics
File Size : 73. 19 MB
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Naber provides an elementary introduction to the geometrical methods and notions used in special and general relativity. Particular emphasis is placed on the ideas concerned with the structure of space-time and that play a role in the Penrose-Hawking singularity theorems. The author's primary purpose is to give a rigorous proof of the simplest of these theorems, by the one that is representative of the whole. He provides exercises and examples at the end of each chapter. No previous exposure either to relativity theory of differential geometry is required of the reader, as necessary concepts are developed when needed, though some restrictions ae imposed on the types of space considered.

Quantum Information In Gravitational Fields

Author : Marco Lanzagorta
ISBN : 9781627056014
Genre : Science
File Size : 48. 73 MB
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One of the major scientific thrusts in recent years has been to try to harness quantum phenomena to increase dramatically the performance of a wide variety of classical information processing devices. In particular, it is generally accepted that quantum co

Introduction To General Relativity And Cosmology

Author : Christian G Böhmer
ISBN : 9781786341204
Genre : Science
File Size : 61. 10 MB
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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. Request Inspection Copy

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