Spacetime and Geometry

Spacetime and Geometry

Author: Sean M. Carroll

Publisher: Cambridge University Press

Published: 2019-08-08

Total Pages: 529

ISBN-13: 1108488390

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


Relativity in Curved Spacetime

Relativity in Curved Spacetime

Author: Eric Baird

Publisher: Chocolate Tree Books

Published: 2007

Total Pages: 396

ISBN-13: 0955706807

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Relativity theory has become one of the icons of Twentieth Century science. It's reckoned to be a difficult subject, taught as a layered series of increasingly difficult mathematics and increasingly abstract concepts. We're told that relativity theory is supposed to be this complicated and counter-intuitive. But how much of this historical complexity is really necessary? Can we bypass the interpretations and paradoxes and pseudoparadoxes of Einstein's special theory and jump directly to a deeper and more intuitive description of reality? What if curvature is a fundamental part of physics, and a final theory of relativity shouldn't reduce to Einstein's "flat" 1905 theory //on principle//? "Relativity..." takes us on a whistlestop tour of Twentieth Century physics - from black holes, quantum mechanics, wormholes and the Big Bang to the workings of the human mind, and asks: what would physics look like without special relativity? 394 printed pages, 234156 mm, 200 figures and illustrations, includes bibliography and index www.relativitybook.com


Relativity without Spacetime

Relativity without Spacetime

Author: Joseph K. Cosgrove

Publisher: Springer

Published: 2018-05-23

Total Pages: 198

ISBN-13: 3319726315

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In 1908, three years after Einstein first published his special theory of relativity, the mathematician Hermann Minkowski introduced his four-dimensional “spacetime” interpretation of the theory. Einstein initially dismissed Minkowski’s theory, remarking that “since the mathematicians have invaded the theory of relativity I do not understand it myself anymore.” Yet Minkowski’s theory soon found wide acceptance among physicists, including eventually Einstein himself, whose conversion to Minkowski’s way of thinking was engendered by the realization that he could profitably employ it for the formulation of his new theory of gravity. The validity of Minkowski’s mathematical “merging” of space and time has rarely been questioned by either physicists or philosophers since Einstein incorporated it into his theory of gravity. Physicists often employ Minkowski spacetime with little regard to the whether it provides a true account of the physical world as opposed to a useful mathematical tool in the theory of relativity. Philosophers sometimes treat the philosophy of space and time as if it were a mere appendix to Minkowski’s theory. In this critical study, Joseph Cosgrove subjects the concept of spacetime to a comprehensive examination and concludes that Einstein’s initial assessment of Minkowksi was essentially correct.


General Relativity Without Calculus

General Relativity Without Calculus

Author: Jose Natario

Publisher: Springer Science & Business Media

Published: 2011-07-30

Total Pages: 133

ISBN-13: 3642214525

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“General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding.


The Little Book of Time

The Little Book of Time

Author: Klaus Mainzer

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 186

ISBN-13: 1475743327

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Time is fundamental to our experience, but remains mysterious. This book shows how philosophers and scientists have tried to grapple with this most extraordinary of ordinary phenomena. From the attempts of early astronomers to reconcile solar and lunar and terrestrial reckonings, to the huge expansions and contractions of time consciousness brought on by scientists as diverse as Newton, Darwin, and Einstein, this book shows how time is as much a matter of human choice as it is a matter of scientific precision.


The Geometry of Spacetime

The Geometry of Spacetime

Author: James J. Callahan

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 474

ISBN-13: 1475767366

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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.


The Geometry of Minkowski Spacetime

The Geometry of Minkowski Spacetime

Author: Gregory L. Naber

Publisher: Courier Corporation

Published: 2003-01-01

Total Pages: 276

ISBN-13: 9780486432359

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This mathematically rigorous treatment examines Zeeman's characterization of the causal automorphisms of Minkowski spacetime and the Penrose theorem concerning the apparent shape of a relativistically moving sphere. Other topics include the construction of a geometric theory of the electromagnetic field; an in-depth introduction to the theory of spinors; and a classification of electromagnetic fields in both tensor and spinor form. Appendixes introduce a topology for Minkowski spacetime and discuss Dirac's famous "Scissors Problem." Appropriate for graduate-level courses, this text presumes only a knowledge of linear algebra and elementary point-set topology. 1992 edition. 43 figures.


Relativity and the Nature of Spacetime

Relativity and the Nature of Spacetime

Author: Vesselin Petkov

Publisher: Springer Science & Business Media

Published: 2006-02-18

Total Pages: 291

ISBN-13: 3540277005

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Puts the emphasis on conceptual questions: Why is there no such thing as absolute motion? What is the physical meaning of relativity of simultaneity? But, the most important question that is addressed in this book is "what is the nature of spacetime?" or, equivalently, "what is the dimensionality of the world at the macroscopic level?" Develops answers to these questions via a thorough analysis of relativistic effects and explicitly asking whether the objects involved in those effects are three-dimensional or four-dimensional. Discusses the implication of the result (this analysis clearly shows that if the world and the physical objects were three-dimensional, none of the kinematic relativistic effects and the experimental evidence supporting them would be possible) for physics, philosophy, and our entire world view are discussed.


General Relativity

General Relativity

Author: Robert M. Wald

Publisher: University of Chicago Press

Published: 2010-05-15

Total Pages: 507

ISBN-13: 0226870375

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"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today