The Cauchy Problem In General Relativity

DOWNLOAD

Download The Cauchy Problem In General Relativity PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Cauchy Problem In General Relativity book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

The Cauchy Problem In General Relativity

DOWNLOAD
Author : Hans Ringström
language : en
Publisher: European Mathematical Society
Release Date : 2009

The Cauchy Problem In General Relativity written by Hans Ringström and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

The general theory of relativity is a theory of manifolds equipped with Lorentz metrics and fields which describe the matter content. Einstein's equations equate the Einstein tensor (a curvature quantity associated with the Lorentz metric) with the stress energy tensor (an object constructed using the matter fields). In addition, there are equations describing the evolution of the matter. Using symmetry as a guiding principle, one is naturally led to the Schwarzschild and Friedmann-Lemaitre-Robertson-Walker solutions, modelling an isolated system and the entire universe respectively. In a different approach, formulating Einstein's equations as an initial value problem allows a closer study of their solutions. This book first provides a definition of the concept of initial data and a proof of the correspondence between initial data and development. It turns out that some initial data allow non-isometric maximal developments, complicating the uniqueness issue. The second half of the book is concerned with this and related problems, such as strong cosmic censorship. The book presents complete proofs of several classical results that play a central role in mathematical relativity but are not easily accessible to those without prior background in the subject. Prerequisites are a good knowledge of basic measure and integration theory as well as the fundamentals of Lorentz geometry. The necessary background from the theory of partial differential equations and Lorentz geometry is included.

Global Aspects Of The Cauchy Problem In General Relativity

DOWNLOAD
Author : Yvonne Choquet-Bruhat
language : en
Publisher:
Release Date : 1969

Global Aspects Of The Cauchy Problem In General Relativity written by Yvonne Choquet-Bruhat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.

The Einstein Equations And The Large Scale Behavior Of Gravitational Fields

DOWNLOAD
Author : Piotr T. Chrusciel
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

The Einstein Equations And The Large Scale Behavior Of Gravitational Fields written by Piotr T. Chrusciel and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

The book presents state-of-the-art results on the analysis of the Einstein equations and the large scale structure of their solutions. It combines in a unique way introductory chapters and surveys of various aspects of the analysis of the Einstein equations in the large. It discusses applications of the Einstein equations in geometrical studies and the physical interpretation of their solutions. Open problems concerning analytical and numerical aspects of the Einstein equations are pointed out. Background material on techniques in PDE theory, differential geometry, and causal theory is provided.

Introduction To General Relativity Black Holes And Cosmology

DOWNLOAD
Author : Yvonne Choquet-Bruhat
language : en
Publisher: Oxford University Press
Release Date : 2015

Introduction To General Relativity Black Holes And Cosmology written by Yvonne Choquet-Bruhat and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.

General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordström and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.

Conformal Methods In General Relativity

DOWNLOAD
Author : Juan A. Valiente Kroon
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-09

Conformal Methods In General Relativity written by Juan A. Valiente Kroon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-09 with Science categories.

This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.

The Sixth Canadian Conference On General Relativity And Relativistic Astrophysics

DOWNLOAD
Author : Stephen Paul Braham
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

The Sixth Canadian Conference On General Relativity And Relativistic Astrophysics written by Stephen Paul Braham and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.

This volume is the refereed proceedings of the Sixth Canadian Conference on General Relativity and Relativistic Astrophysics held in May 1995 at the University of New Brunswick. The book includes invited talks and contributed talks and posters including state-of-the-art reviews of many of the most recent important developments in gravitational physics. This book would serve as a good supplement to standard texts on the topic. It features: review articles in key areas - black holes, numerical relativity, etc.; contributions covering most of gravitational physics; useful articles for students who wish to begin exploring the issues discussed; and, invited talks given by researchers known for their ability to communicate their expertise.

Gravitoelectromagnetism And The Cauchy Problem In General Relativity

DOWNLOAD
Author : Mark Andrew Spanier Aarons
language : en
Publisher:
Release Date : 2000

Gravitoelectromagnetism And The Cauchy Problem In General Relativity written by Mark Andrew Spanier Aarons and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Cauchy problem categories.

Nuclear Science Abstracts

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1976

Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Nuclear energy categories.

General Relativity And Gravitation Proceedings Of The 17th International Conference

DOWNLOAD
Author : Adrian Ottewill
language : en
Publisher: World Scientific
Release Date : 2005-11-07

General Relativity And Gravitation Proceedings Of The 17th International Conference written by Adrian Ottewill and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-07 with Science categories.

This authoritative volume provides a snapshot of the state of the art in gravitational physics and related mathematical fields, as well as a review of recent achievements and prospects for future work. With contributing authors among the world leaders in their respective fields, this proceedings volume is a worthy addition to this conference series, which constitutes one of the most important international meetings in the areas general relativity and gravitation.

Weyl And The Problem Of Space

DOWNLOAD
Author : Julien Bernard
language : en
Publisher: Springer Nature
Release Date : 2019-10-09

Weyl And The Problem Of Space written by Julien Bernard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-09 with Science categories.

This book investigates Hermann Weyl’s work on the problem of space from the early 1920s onwards. It presents new material and opens the philosophical problem of space anew, crossing the disciplines of mathematics, history of science and philosophy. With a Kantian starting point Weyl asks: among all the infinitely many conceivable metrical spaces, which one applies to the physical world? In agreement with general relativity, Weyl acknowledges that the metric can quantitatively vary with the physical situation. Despite this freedom, Weyl “deduces”, with group-theoretical technicalities, that there is only one “kind” of legitimate metric. This construction was then decisive for the development of gauge theories. Nevertheless, the question of the foundations of the metric of physical theories is only a piece of a wider epistemological problem. Contributing authors mark out the double trajectory that goes through Weyl’s texts, from natural science to philosophy and conversely, always through the mediation of mathematics. Readers may trace the philosophical tradition to which Weyl refers and by which he is inspired (Kant, Husserl, Fichte, Leibniz, Becker etc.), and explore the mathematical tradition (Riemann, Helmholtz, Lie, Klein) that permitted Weyl to elaborate and solve his mathematical problem of space. Furthermore, this volume analyzes the role of the interlocutors with whom Weyl discussed the nature of physical space (Einstein, Cartan, De Sitter, Schrödinger, Eddington). This volume features the work of top specialists and will appeal to postgraduates and scholars in philosophy, the history of science, mathematics, or physics.