Geometric Relativity

Geometric Relativity
Author :
Publisher : American Mathematical Soc.
Total Pages : 377
Release :
ISBN-10 : 9781470450816
ISBN-13 : 147045081X
Rating : 4/5 (81X Downloads)

Book Synopsis Geometric Relativity by : Dan A. Lee

Download or read book Geometric Relativity written by Dan A. Lee and published by American Mathematical Soc.. This book was released on 2019-09-25 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Geometric Relativity Related Books

Geometric Relativity
Language: en
Pages: 377
Authors: Dan A. Lee
Categories: Mathematics
Type: BOOK - Published: 2019-09-25 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 di
Relativity and Geometry
Language: en
Pages: 417
Authors: Roberto Torretti
Categories: Science
Type: BOOK - Published: 1996-01-01 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Early in this century, it was shown that the new non-Newtonian physics -- known as Einstein's Special Theory of Relativity -- rested on a new, non-Euclidean geo
Geometric Relativity
Language: en
Pages: 377
Authors: Dan A. Lee
Categories: Mathematics
Type: BOOK - Published: 2021-12-20 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

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 di
Geometric Theory of Generalized Functions with Applications to General Relativity
Language: en
Pages: 517
Authors: M. Grosser
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Origi
Differential Forms and the Geometry of General Relativity
Language: en
Pages: 324
Authors: Tevian Dray
Categories: Mathematics
Type: BOOK - Published: 2014-10-20 - Publisher: CRC Press

DOWNLOAD EBOOK

Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus