An Introduction to General Relativity
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Introduction to General Relativity by L. P. Hughston
Book DescriptionThis 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.
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Book DetailsISBN: 9780521339438
(228mm x 152mm x 11mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 25-Jan-1991
Country of Publication: United Kingdom
Books By Author L. P. Hughston
Finance at Fields, Hardback (November 2012)» View all books by L. P. Hughston
A collection of articles that includes papers presented at the Fields Institute, Toronto, as part of the Thematic Program in Quantitative Finance that took place in the first six months of the year 2010. It includes papers on foundational issues in mathematical finance, computational finance, and derivatives and risk management.
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