Articles liés à An Introduction to General Relativity

An Introduction to General Relativity - Couverture souple

Hughston, L. P.

 
9780521339438: An Introduction to General Relativity
Couverture souple
ISBN 10 : 052133943X ISBN 13 : 9780521339438
Editeur : Cambridge University Press, 1991

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

"...the authors guide the novice along a careful, well-planned route that provides a pleasing balance between the demands of the mathematics and those of the physics." Mathematical Reviews

"...very readable...more emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition." Quarterly of Applied MAthematics, Brown University

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1991
Langue
anglais
ISBN 10 
052133943X
ISBN 13 
9780521339438
Reliure
Broché
Numéro d'édition
1
Nombre de pages
192
Coordonnées du fabricant
Cambridge University Press
https://www.cambridge.org/

Via Honduras,15
Pomezia
Italia
71
Italie