Spacetime Geometry And Gravitation

Author : Pankaj Sharan
Publisher : Springer Science & Business Media
ISBN 13 : 3764399716
Total Pages : 355 pages
Book Rating : 4.19/5 ( download)

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Download or read book Spacetime, Geometry and Gravitation written by Pankaj Sharan and published by Springer Science & Business Media. This book was released on 2009-11-18 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Pankaj Sharan
Publisher : Springer Science & Business Media
ISBN 13 : 3764399708
Total Pages : 357 pages
Book Rating : 4.02/5 ( download)

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Download or read book Spacetime, Geometry and Gravitation written by Pankaj Sharan and published by Springer Science & Business Media. This book was released on 2009-09-18 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Sean M. Carroll
Publisher : Cambridge University Press
ISBN 13 : 1108488390
Total Pages : 529 pages
Book Rating : 4.96/5 ( download)

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Download or read book Spacetime and Geometry written by Sean M. Carroll and published by Cambridge University Press. This book was released on 2019-08-08 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.

Author : Hans C. Ohanian
Publisher : Cambridge University Press
ISBN 13 : 1107012945
Total Pages : 545 pages
Book Rating : 4.43/5 ( download)

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Download or read book Gravitation and Spacetime written by Hans C. Ohanian and published by Cambridge University Press. This book was released on 2013-04-08 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students.

Author : Charles W. Misner
Publisher : Princeton University Press
ISBN 13 : 0691177791
Total Pages : 1332 pages
Book Rating : 4.93/5 ( download)

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Download or read book Gravitation written by Charles W. Misner and published by Princeton University Press. This book was released on 2017-10-24 with total page 1332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : James J. Callahan
Publisher : Springer Science & Business Media
ISBN 13 : 1475767366
Total Pages : 474 pages
Book Rating : 4.60/5 ( download)

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Download or read book The Geometry of Spacetime written by James J. Callahan and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Sean M. Carroll
Publisher : Cambridge University Press
ISBN 13 : 1108775551
Total Pages : 530 pages
Book Rating : 4.57/5 ( download)

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Download or read book Spacetime and Geometry written by Sean M. Carroll and published by Cambridge University Press. This book was released on 2019-08-08 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : David E. Rowe
Publisher : Birkhäuser
ISBN 13 : 1493977083
Total Pages : 492 pages
Book Rating : 4.86/5 ( download)

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Download or read book Beyond Einstein written by David E. Rowe and published by Birkhäuser. This book was released on 2018-06-18 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology explores the rich interplay between mathematical and physical ideas by studying the interactions of major actors and the roles of important research communities over the course of the last century.

Author : Sean Carroll
Publisher : Penguin
ISBN 13 : 0593186583
Total Pages : 305 pages
Book Rating : 4.89/5 ( download)

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Download or read book The Biggest Ideas in the Universe written by Sean Carroll and published by Penguin. This book was released on 2022-09-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.

Author : William L. Burke
Publisher : Courier Dover Publications
ISBN 13 : 0486845583
Total Pages : 353 pages
Book Rating : 4.86/5 ( download)

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Download or read book Spacetime, Geometry, Cosmology written by William L. Burke and published by Courier Dover Publications. This book was released on 2020-12-16 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Novel interpretation of the relationship between space, time, gravitation, and their cosmological implications; based on author's discovery of a value in gravitation overlooked by both Newton and Einstein. 1982 edition.