Download the fantastic book titled Geometric Relativity written by Dan A. Lee, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Geometric Relativity", which was released on 25 September 2019. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Differential equations, Partial genre.
Summary of Geometric Relativity by Dan A. Lee PDF
Many problems in general relativity are essentially geometric in nature, in the sense that they can be understood in terms of Riemannian geometry and partial differential equations. This book is centered around the study of mass in general relativity using the techniques of geometric analysis. Specifically, it provides a comprehensive treatment of the positive mass theorem and closely related results, such as the Penrose inequality, drawing on a variety of tools used in this area of research, including minimal hypersurfaces, conformal geometry, inverse mean curvature flow, conformal flow, spinors and the Dirac operator, marginally outer trapped surfaces, and density theorems. This is the first time these topics have been gathered into a single place and presented with an advanced graduate student audience in mind; several dozen exercises are also included. The main prerequisite for this book is a working understanding of Riemannian geometry and basic knowledge of elliptic linear partial differential equations, with only minimal prior knowledge of physics required. The second part of the book includes a short crash course on general relativity, which provides background for the study of asymptotically flat initial data sets satisfying the dominant energy condition.
Detail About Geometric Relativity PDF
- Author : Dan A. Lee
- Publisher : American Mathematical Soc.
- Genre : Differential equations, Partial
- Total Pages : 361 pages
- ISBN : 147045081X
- Release Date : 25 September 2019
- PDF File Size : 19,8 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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