Conformal Methods In General Relativity PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Conformal Methods In General Relativity PDF full book. Access full book title Conformal Methods In General Relativity.
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 | : Giampiero Esposito |
Publisher | : Springer Science & Business Media |
Total Pages | : 216 |
Release | : 2006-04-11 |
Genre | : Science |
ISBN | : 0306471183 |
Download Complex General Relativity Book in PDF, ePub and Kindle
This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal gravity, ?-planes, ?-surfaces, Penrose transform, complex 3 1 – – space-time models with non-vanishing torsion, spin- fields and spin- potentials. 2 2 Problems have been inserted at the end, to help the reader to check his und- standing of these topics. Thus, I can find at least four reasons for writing yet another book on spinor and twistor methods in general relativity: (i) to write a textbook useful to - ginning graduate students and research workers, where two-component spinor c- culus is the unifying mathematical language.
Author | : Éric Gourgoulhon |
Publisher | : Springer |
Total Pages | : 304 |
Release | : 2012-02-27 |
Genre | : Science |
ISBN | : 3642245250 |
Download 3+1 Formalism in General Relativity Book in PDF, ePub and Kindle
This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book.
Author | : Roger Penrose |
Publisher | : SIAM |
Total Pages | : 80 |
Release | : 1972-01-01 |
Genre | : Technology & Engineering |
ISBN | : 9781611970609 |
Download Techniques of Differential Topology in Relativity Book in PDF, ePub and Kindle
Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.
Author | : Abhay Ashtekar |
Publisher | : Cambridge University Press |
Total Pages | : 697 |
Release | : 2015-06-01 |
Genre | : Science |
ISBN | : 1316298698 |
Download General Relativity and Gravitation Book in PDF, ePub and Kindle
Explore spectacular advances in cosmology, relativistic astrophysics, gravitational wave science, mathematics, computational science, and the interface of gravitation and quantum physics with this unique celebration of the centennial of Einstein's discovery of general relativity. Twelve comprehensive and in-depth reviews, written by a team of world-leading international experts, together present an up-to-date overview of key topics at the frontiers of these areas, with particular emphasis on the significant developments of the last three decades. Interconnections with other fields of research are also highlighted, making this an invaluable resource for both new and experienced researchers. Commissioned by the International Society on General Relativity and Gravitation, and including accessible introductions to cutting-edge topics, ample references to original research papers, and informative colour figures, this is a definitive reference for researchers and graduate students in cosmology, relativity, and gravitational science.
Author | : Kirill Krasnov |
Publisher | : Cambridge University Press |
Total Pages | : 391 |
Release | : 2020-11-26 |
Genre | : Science |
ISBN | : 1108481647 |
Download Formulations of General Relativity Book in PDF, ePub and Kindle
Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.
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 | : Norman Gray |
Publisher | : Cambridge University Press |
Total Pages | : 165 |
Release | : 2019-01-03 |
Genre | : Science |
ISBN | : 1107183464 |
Download A Student's Guide to General Relativity Book in PDF, ePub and Kindle
Vectors, tensors and functions -- Manifolds, vectors and differentiation -- Energy, momentum and Einstein's equations
Author | : Francesco Bajardi |
Publisher | : Cambridge University Press |
Total Pages | : 451 |
Release | : 2022-11-30 |
Genre | : Science |
ISBN | : 1009208748 |
Download Noether Symmetries in Theories of Gravity Book in PDF, ePub and Kindle
This volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.
Author | : Stephen W. Hawking |
Publisher | : Cambridge University Press |
Total Pages | : 414 |
Release | : 2023-02-16 |
Genre | : Science |
ISBN | : 1009253182 |
Download The Large Scale Structure of Space-Time Book in PDF, ePub and Kindle
First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.