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Spacetime And Geometry

Author: Sean M. Carroll
Publisher: Cambridge University Press
ISBN: 1108488390
Size: 16.38 MB
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Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology. Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how gravitational waves are generated and detected, and the modern view of the expansion of the universe. A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics.

Spacetime And Geometry Pearson New International Edition

Author: Sean Carroll
Publisher: Pearson Higher Ed
ISBN: 1292039019
Size: 26.63 MB
Format: PDF, Mobi
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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
Publisher: Springer Science & Business Media
ISBN: 3764399708
Size: 58.99 MB
Format: PDF, Mobi
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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
Publisher: Springer Science & Business Media
ISBN: 1475767366
Size: 75.24 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
Publisher: CRC Press
ISBN: 9780824717490
Size: 21.17 MB
Format: PDF, ePub, Mobi
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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
Publisher: Cambridge University Press
ISBN: 9780521829519
Size: 38.46 MB
Format: PDF, Kindle
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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
Publisher: John Wiley & Sons
ISBN: 1118522052
Size: 23.73 MB
Format: PDF, ePub
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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

Relativity

Author: Steve Adams
Publisher: CRC Press
ISBN: 9780203018606
Size: 17.17 MB
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Provides the essential principles and results of special relativity as required by undergraduates. The text uses a geometric interpretation of space-time so that a general theory is seen as a natural extension of the special theory. Although most results are derived from first principles, complex and distracting mathematics is avoided and all mathe

Quantum Information In Gravitational Fields

Author: Marco Lanzagorta
Publisher: Morgan & Claypool Publishers
ISBN: 1627056017
Size: 45.66 MB
Format: PDF, ePub, Mobi
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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

An Introduction To General Relativity And Cosmology

Author: Jerzy Plebanski
Publisher: Cambridge University Press
ISBN: 113945840X
Size: 59.55 MB
Format: PDF, ePub
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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 in this book they 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. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.