Asymptotic Analysis In General Relativity PDF Download
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Author | : Thierry Daudé |
Publisher | : Cambridge University Press |
Total Pages | : 381 |
Release | : 2018-01-11 |
Genre | : Mathematics |
ISBN | : 1316649407 |
Download Asymptotic Analysis in General Relativity Book in PDF, ePub and Kindle
Introduction to modern methods for classical and quantum fields in general relativity / Thierry Daudé, Dietrich Häfner, and Jean-Philippe Nicolas -- Geometry of black hole spacetimes / Lars Andersson, Thomas B. Ackdahl, and Pieter Blue -- An introduction to Quantum Field Theory on curved space-times / Christian Gerard -- A minicourse on microlocal analysis for wave propagation / Andras Vasy -- An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity / Sean N. Curry and A. Rod Gover
Author | : Lizhen Ji |
Publisher | : Springer |
Total Pages | : 647 |
Release | : 2017-10-03 |
Genre | : Mathematics |
ISBN | : 3319600397 |
Download From Riemann to Differential Geometry and Relativity Book in PDF, ePub and Kindle
This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.
Author | : Francis J. Flaherty |
Publisher | : Springer |
Total Pages | : 236 |
Release | : 1984 |
Genre | : Mathematics |
ISBN | : |
Download Asymptotic Behavior of Mass and Spacetime Geometry Book in PDF, ePub and Kindle
Author | : Mark Lʹvovich Agranovskiĭ |
Publisher | : American Mathematical Soc. |
Total Pages | : 314 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821851977 |
Download Complex Analysis and Dynamical Systems IV Book in PDF, ePub and Kindle
The papers in this volume cover a wide variety of topics in differential geometry, general relativity, and partial differential equations. In addition, there are several articles dealing with various aspects of Lie groups and mathematics physics. Taken together, the articles provide the reader with a panorama of activity in general relativity and partial differential equations, drawn by a number of leading figures in the field. The companion volume (Contemporary Mathematics, Volume 553) is devoted to function theory and optimization.
Author | : Iva Stavrov |
Publisher | : American Mathematical Soc. |
Total Pages | : 243 |
Release | : 2020-11-12 |
Genre | : Education |
ISBN | : 1470456281 |
Download Curvature of Space and Time, with an Introduction to Geometric Analysis Book in PDF, ePub and Kindle
This book introduces advanced undergraduates to Riemannian geometry and mathematical general relativity. The overall strategy of the book is to explain the concept of curvature via the Jacobi equation which, through discussion of tidal forces, further helps motivate the Einstein field equations. After addressing concepts in geometry such as metrics, covariant differentiation, tensor calculus and curvature, the book explains the mathematical framework for both special and general relativity. Relativistic concepts discussed include (initial value formulation of) the Einstein equations, stress-energy tensor, Schwarzschild space-time, ADM mass and geodesic incompleteness. The concluding chapters of the book introduce the reader to geometric analysis: original results of the author and her undergraduate student collaborators illustrate how methods of analysis and differential equations are used in addressing questions from geometry and relativity. The book is mostly self-contained and the reader is only expected to have a solid foundation in multivariable and vector calculus and linear algebra. The material in this book was first developed for the 2013 summer program in geometric analysis at the Park City Math Institute, and was recently modified and expanded to reflect the author's experience of teaching mathematical general relativity to advanced undergraduates at Lewis & Clark College.
Author | : Juan A. Valiente Kroon |
Publisher | : Cambridge University Press |
Total Pages | : 627 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 1009291343 |
Download Conformal Methods in General Relativity Book in PDF, ePub and Kindle
This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.
Author | : Allen I. Janis |
Publisher | : Springer Science & Business Media |
Total Pages | : 282 |
Release | : 1992-02-07 |
Genre | : Science |
ISBN | : 9780817635411 |
Download Recent Advances in General Relativity Book in PDF, ePub and Kindle
Papers from the Discussion Conference on Recent Advances in General Relativity, held at the U. of Pittsburgh, May 1990, survey the interacting fields of classical general relativity, astrophysics, and quantum gravity. Some of the remarks made following the invited papers are also included. The conference also included three workshops on classical g
Author | : Yvonne Choquet-Bruhat |
Publisher | : Oxford University Press |
Total Pages | : 812 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0199230722 |
Download General Relativity and the Einstein Equations Book in PDF, ePub and Kindle
General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.
Author | : R. B. White |
Publisher | : World Scientific |
Total Pages | : 430 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 1848166087 |
Download Asymptotic Analysis of Differential Equations Book in PDF, ePub and Kindle
"This is a useful volume in which a wide selection of asymptotic techniques is clearly presented in a form suitable for both applied mathematicians and Physicists who require an introduction to asymptotic techniques." --Book Jacket.
Author | : Ghanashyam Date |
Publisher | : CRC Press |
Total Pages | : 270 |
Release | : 2014-12-03 |
Genre | : Science |
ISBN | : 1466552719 |
Download General Relativity Book in PDF, ePub and Kindle
A Broad Perspective on the Theory of General Relativity and Its Observable Implications General Relativity: Basics and Beyond familiarizes students and beginning researchers with the basic features of the theory of general relativity as well as some of its more advanced aspects. Employing the pedagogical style of a textbook, it includes essential ideas and just enough background material needed for readers to appreciate the issues and current research. Basics The first five chapters form the core of an introductory course on general relativity. The author traces Einstein’s arguments and presents examples of space-times corresponding to different types of gravitational fields. He discusses the adaptation of dynamics in a Riemannian geometry framework, the Einstein equation and its elementary properties, and different phenomena predicted or influenced by general relativity. Beyond Moving on to more sophisticated features of general relativity, the book presents the physical requirements of a well-defined deterministic framework for non-gravitational dynamics and describes the characterization of asymptotic space-times. After covering black holes, gravitational waves, and cosmological space-times, the book examines the evolutionary interpretation for the class of globally hyperbolic space-times, explores numerical relativity, and discusses approaches that address the challenges of general relativity.