The book will appeal to graduate students and researchers in mathematics and mathematical physics interested in the connections between geometric analysis and general relativity. It builds a bridge from foundational coursework to more specialized results in the field for graduate students beginning their study of the Einstein constraints equations.
This book introduces and explores some of the deep connections between Einstein''s theory of gravitation and differential geometry. As an outgrowth of graduate summer schools, the presentation is aimed at graduate students in mathematics and mathematical physics, starting from the foundations of special and general relativity, and moving to more advanced results in geometric analysis and the Einstein constraint equations. Topics include the formulation of the Einstein field equation and the Einstein constraint equations; gluing construction of initial data sets which are Schwarzschild near infinity; and an introduction to the Riemannian Penrose inequality. While the book assumes a background in differential geometry and real analysis, a number of basic results in geometry are provided. There are well over 100 exercises, many woven into the fabric of the chapters as well as others collected at the end of chapters, to give readers a chance to engage and extend the text.
Get Lectures on Mathematical Relativity by at the best price and quality guranteed only at Werezi Africa largest book ecommerce store. The book was published by Cambridge University Press and it has pages. Enjoy Shopping Best Offers & Deals on books Online from Werezi - Receive at your doorstep - Fast Delivery - Secure mode of Payment
