300 Problems in Special and General Relativity PDF Download
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Author: L. P. Hughston Publisher: Cambridge University Press ISBN: 9780521339438 Category : Mathematics Languages : en Pages : 196
Book Description
This textbook provides an introduction to general relativity for mathematics undergraduates or graduate physicists. After a review of Cartesian tensor notation and special relativity the concepts of Riemannian differential geometry are introducted. More emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition. General relativity is then presented as a relativistic theory of gravity reducing in the appropriate limits to Newtonian gravity or special relativity. The Schwarzchild solution is derived and the gravitational red-shift, time dilation and classic tests of general relativity are discussed. There is a brief account of gravitational collapse and black holes based on the extended Schwarzchild solution. Other vacuum solutions are described, motivated by their counterparts in linearised general relativity. The book ends with chapters on cosmological solutions to the field equations. There are exercises attached to each chapter, some of which extend the development given in the text.
Author: James A. Foster Publisher: Springer Science & Business Media ISBN: 0387275835 Category : Science Languages : en Pages : 295
Book Description
Suitable for a one-semester course in general relativity for senior undergraduates or beginning graduate students, this text clarifies the mathematical aspects of Einstein's theory of relativity without sacrificing physical understanding.
Author: Sean M. Carroll Publisher: Cambridge University Press ISBN: 1108488390 Category : Science Languages : en Pages : 529
Book Description
An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.
Author: Alan P. Lightman Publisher: Princeton University Press ISBN: 1400889014 Category : Science Languages : en Pages : 616
Book Description
An essential resource for learning about general relativity and much more, from four leading experts Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds. In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity.
Author: James B. Hartle Publisher: Cambridge University Press ISBN: 1316517543 Category : Science Languages : en Pages : 605
Book Description
Best-selling, accessible physics-first introduction to GR uses minimal new mathematics and begins with the essential physical applications.
Author: Norman Gray Publisher: Cambridge University Press ISBN: 1009003119 Category : Science Languages : en Pages : 232
Book Description
This compact yet informative Guide presents an accessible route through Special Relativity, taking a modern axiomatic and geometrical approach. It begins by explaining key concepts and introducing Einstein's postulates. The consequences of the postulates – length contraction and time dilation – are unravelled qualitatively and then quantitatively. These strands are then tied together using the mathematical framework of the Lorentz transformation, before applying these ideas to kinematics and dynamics. This volume demonstrates the essential simplicity of the core ideas of Special Relativity, while acknowledging the challenges of developing new intuitions and dealing with the apparent paradoxes that arise. A valuable supplementary resource for intermediate undergraduates, as well as independent learners with some technical background, the Guide includes numerous exercises with hints and notes provided online. It lays the foundations for further study in General Relativity, which is introduced briefly in an appendix.
Author: Alan P. Lightman Publisher: Princeton University Press ISBN: 069108162X Category : Science Languages : en Pages : 616
Book Description
The authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism.
Author: Mattias Blennow
Author: Mattias Blennow
Author: L. P. Hughston
Author: James A. Foster
Author: Sean M. Carroll
Author: Florentin Smarandache
Author: Alan P. Lightman
Author: James B. Hartle
Author: Norman Gray
Author: Norman Gray
Author: Alan P. Lightman