Spacetime And Gravitation

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Space Time And Gravitation

Author : A. S. Eddington
Publisher : Read Books Ltd
Page : 224 pages
File Size : 47,7 Mb
Release : 2013-04-16
Category : Science
ISBN : 9781473383074

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Space Time And Gravitation by A. S. Eddington Pdf

Arthur Eddington was one of the prominent English astrophysicists of the 20th century, well known in his day for his correspondence with Albert Einstein through the upheavals of the First World War. A fascinating book by one of the greats of the scientific community.

Gravitation and Spacetime

Author : Hans C. Ohanian,Remo Ruffini
Publisher : Cambridge University Press
Page : 545 pages
File Size : 51,5 Mb
Release : 2013-04-08
Category : Science
ISBN : 9781107012943

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Gravitation and Spacetime by Hans C. Ohanian,Remo Ruffini Pdf

This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students.

The Theory of Space, Time and Gravitation

Author : V. Fock
Publisher : Elsevier
Page : 460 pages
File Size : 43,6 Mb
Release : 2015-08-11
Category : Science
ISBN : 9781483184906

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The Theory of Space, Time and Gravitation by V. Fock Pdf

The Theory of Space, Time, and Gravitation, 2nd Revised Edition focuses on Relativity Theory and Einstein's Theory of Gravitation and correction of the misinterpretation of the Einsteinian Gravitation Theory. The book first offers information on the theory of relativity and the theory of relativity in tensor form. Discussions focus on comparison of distances and lengths in moving reference frames; comparison of time differences in moving reference frames; position of a body in space at a given instant in a fixed reference frame; and proof of the linearity of the transformation linking two inertial frames. The text then ponders on general tensor analysis, including permissible transformations for space and time coordinates, parallel transport of a vector, covariant differentiation, and basic properties of the curvature tensor. The publication examines the formulation of relativity theory in arbitrary coordinates and principles of the theory of gravitation. Topics include equations of mathematical physics in arbitrary coordinates; integral form of the conservation laws in arbitrary coordinates; variational principle and the energy tensor; and comparison with the statement of the problem in Newtonian theory. The manuscript is a dependable reference for readers interested in the theory of space, time, and gravitation.

Spacetime, Geometry and Gravitation

Author : Pankaj Sharan
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 41,7 Mb
Release : 2009-11-18
Category : Science
ISBN : 9783764399719

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Spacetime, Geometry and Gravitation by Pankaj Sharan Pdf

This is an introductory book on the general theory of relativity based partly on lectures given to students of M.Sc. Physics at my university. The book is divided into three parts. The ?rst part is a preliminary course on general relativity with minimum preparation. The second part builds the ma- ematical background and the third part deals with topics where mathematics developed in the second part is needed. The ?rst chapter gives a general background and introduction. This is f- lowed by an introduction to curvature through Gauss’ Theorema Egregium. This theorem expresses the curvature of a two-dimensional surface in terms of intrinsic quantitiesrelatedtothein?nitesimaldistancefunctiononthesurface.Thestudent isintroducedtothemetrictensor,Christo?elsymbolsandRiemanncurvaturet- sor by elementary methods in the familiar and visualizable case of two dimensions. This early introduction to geometric quantities equips a student to learn simpler topics in general relativity like the Newtonian limit, red shift, the Schwarzschild solution, precession of the perihelion and bending of light in a gravitational ?eld. Part II (chapters 5 to 10) is an introduction to Riemannian geometry as - quired by general relativity. This is done from the beginning, starting with vectors and tensors. I believe that students of physics grasp physical concepts better if they are not shaky about the mathematics involved.

Space, Time and Gravitation - An Outline of the General Relativity Theory

Author : Arthur Eddington
Publisher : Read Books Ltd
Page : 226 pages
File Size : 42,6 Mb
Release : 2013-04-16
Category : Science
ISBN : 9781447489481

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Space, Time and Gravitation - An Outline of the General Relativity Theory by Arthur Eddington Pdf

Written by the English astrophysicist, Sir Arthur Eddington (1882-1944), and originally published in 1920, ‘Space, Time and Gravitation’ outlines the general theory of relativity in astrophysics. This fascinating early work navigates Einstein’s theory through a series of perspectives – that of the experimental physicist, pure mathematician, and relativist, making it a wonderful read for the student, teacher or astrophysics enthusiast today. Contents include: Arthur Eddington; Preface; Prologue; ‘What Is Geometry?’; 1 - The Fitzgerald Contraction; 2 – Relativity; 3 - The World of Four Dimensions; 4 - Fields of force; 5 - Kinds of Space; 6 - The New Law of Gravitation and the Old Law; 7 - Weighing Light; 8 - Other Tests of the Theory; 9 - Momentum and Energy; 10 - towards infinity; 11 - Electricity and Gravitation; 12 - On The Nature of Things; Appendix; Mathematical Notes; Historical Note. This classic text is being republished in a modern and affordable edition, complete with reproductions of the original illustrations and a specially written concise biography.

Spacetime and Geometry

Author : Sean M. Carroll
Publisher : Cambridge University Press
Page : 529 pages
File Size : 52,9 Mb
Release : 2019-08-08
Category : Science
ISBN : 9781108488396

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Spacetime and Geometry by Sean M. Carroll Pdf

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

Spacetime and Gravitation

Author : Wojciech Kopczynski,Andrzej Trautman
Publisher : Unknown
Page : 184 pages
File Size : 44,7 Mb
Release : 1992-01-30
Category : Science
ISBN : STANFORD:36105000127782

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Spacetime and Gravitation by Wojciech Kopczynski,Andrzej Trautman Pdf

Ideas about space and time are at the root of one's understanding of nature, both at the intuitive level of everyday experience and in the framework of sophisticated physical theories. These ideas have led to the development of geometry and its applications to physics. The contemporary physical theory of space and time, including its extention to the phenomena of gravitation, is Einstein's theory of relativity. Spacetime and Gravitation is a short introduction to this theory. It is addressed to a fairly wide readership: parts of it can be read by university students of mathematics, physics and engineering. A great deal of emphasis is given to the geometrical aspects of relativity theory and its comparison with the Newtonian view of the world. There are short chapters on the origins of Einstein's theory, gravitational waves, cosmology, spinors and the Einstein-Cartan theory.

Inertia and Gravitation

Author : Herbert Pfister,Markus King
Publisher : Springer
Page : 180 pages
File Size : 48,6 Mb
Release : 2015-02-24
Category : Science
ISBN : 9783319150369

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Inertia and Gravitation by Herbert Pfister,Markus King Pdf

This book focuses on the phenomena of inertia and gravitation, one objective being to shed some new light on the basic laws of gravitational interaction and the fundamental nature and structures of spacetime. Chapter 1 is devoted to an extensive, partly new analysis of the law of inertia. The underlying mathematical and geometrical structure of Newtonian spacetime is presented from a four-dimensional point of view, and some historical difficulties and controversies - in particular the concepts of free particles and straight lines - are critically analyzed, while connections to projective geometry are also explored. The relativistic extensions of the law of gravitation and its intriguing consequences are studied in Chapter 2. This is achieved, following the works of Weyl, Ehlers, Pirani and Schild, by adopting a point of view of the combined conformal and projective structure of spacetime. Specifically, Mach’s fundamental critique of Newton’s concepts of ‘absolute space’ and ‘absolute time’ was a decisive motivation for Einstein’s development of general relativity, and his equivalence principle provided a new perspective on inertia. In Chapter 3 the very special mathematical structure of Einstein’s field equations is analyzed, and some of their remarkable physical predictions are presented. By analyzing different types of dragging phenomena, Chapter 4 reviews to what extent the equivalence principle is realized in general relativity - a question intimately connected to the ‘new force’ of gravitomagnetism, which was theoretically predicted by Einstein and Thirring but which was only recently experimentally confirmed and is thus of current interest.

Gravitation

Author : Charles W. Misner,Kip S. Thorne,John Archibald Wheeler
Publisher : Princeton University Press
Page : 1332 pages
File Size : 41,6 Mb
Release : 2017-10-24
Category : Science
ISBN : 9780691177793

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Gravitation by Charles W. Misner,Kip S. Thorne,John Archibald Wheeler Pdf

Spacetime physics -- Physics in flat spacetime -- The mathematics of curved spacetime -- Einstein's geometric theory of gravity -- Relativistic stars -- The universe -- Gravitational collapse and black holes -- Gravitational waves -- Experimental tests of general relativity -- Frontiers

Spacetime, Geometry and Gravitation

Author : Pankaj Sharan
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 55,8 Mb
Release : 2009-09-18
Category : Mathematics
ISBN : 9783764399702

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Spacetime, Geometry and Gravitation by Pankaj Sharan Pdf

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.

Ripples in Spacetime

Author : Govert Schilling
Publisher : Harvard University Press
Page : 353 pages
File Size : 41,6 Mb
Release : 2017-07-31
Category : Science
ISBN : 9780674971660

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Ripples in Spacetime by Govert Schilling Pdf

A spacetime appetizer -- Relatively speaking -- Einstein on trial -- Wave talk and bar fights -- The lives of stars -- Clockwork precision -- Laser quest -- The path to perfection -- Creation stories -- Cold case -- Gotcha -- Black magic -- Nanoscience -- Follow-up questions -- Space invaders -- Surf's up for Einstein wave astronomy

General Relativity and Gravitation

Author : Abhay Ashtekar,Beverly K. Berger,James Isenberg,Malcolm MacCallum
Publisher : Cambridge University Press
Page : 697 pages
File Size : 46,6 Mb
Release : 2015-06
Category : Science
ISBN : 9781107037311

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General Relativity and Gravitation by Abhay Ashtekar,Beverly K. Berger,James Isenberg,Malcolm MacCallum Pdf

Explore spectacular advances in contemporary physics with this unique celebration of the centennial of Einstein's discovery of general relativity.

Space, Time, and Gravity

Author : Robert M. Wald
Publisher : University of Chicago Press
Page : 176 pages
File Size : 44,9 Mb
Release : 1992-05
Category : Science
ISBN : 0226870286

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Space, Time, and Gravity by Robert M. Wald Pdf

Writing for the general reader or student, Wald has completely revised and updated this highly regarded work to include recent developments in black hole physics and cosmology. Nature called the first edition "a very readable and accurate account of modern relativity physics for the layman within the unavoidable constraint of almost no mathematics. . . . A well written, entertaining and authoritative book."

Special and General Relativity

Author : Rainer Dick
Publisher : Morgan & Claypool Publishers
Page : 151 pages
File Size : 46,8 Mb
Release : 2019-02-07
Category : Science
ISBN : 9781643273808

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Special and General Relativity by Rainer Dick Pdf

This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foundations of special relativity to the core results of general relativity: the Einstein equation and the equations of motion for particles and light in curved spacetime. To facilitate access to the topics of special and general relativity for science and engineering students without prior training in relativity or geometry, the relevant geometric notions are also introduced and developed from the ground up. Students in physics, mathematics or engineering with an interest to learn Einstein's theories of relativity should be able to use this book already in the second semester of their third year. The book could also be used as the basis of a graduate level introduction to relativity for students who did not learn relativity as part of their undergraduate training.

Space-time

Author : Jonathan Allday
Publisher : CRC Press
Page : 371 pages
File Size : 47,5 Mb
Release : 2019-05-28
Category : Science
ISBN : 9781351676229

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Space-time by Jonathan Allday Pdf

This book, suitable for interested post-16 school pupils or undergraduates looking for a supplement to their course text, develops our modern view of space-time and its implications in the theories of gravity and cosmology. While aspects of this topic are inevitably abstract, the book seeks to ground thinking in observational and experimental evidence where possible. In addition, some of Einstein’s philosophical thoughts are explored and contrasted with our modern views. Written in an accessible yet rigorous style, Jonathan Allday, a highly accomplished writer, brings his trademark clarity and engagement to these fascinating subjects, which underpin so much of modern physics. Features: Restricted use of advanced mathematics, making the book suitable for post-16 students and undergraduates Contains discussions of key modern developments in quantum gravity, and the latest developments in the field, including results from the Laser Interferometer Gravitational-Wave Observatory (LIGO) Accompanied by appendices on the CRC Press website featuring detailed mathematical arguments for key derivations