General Relativity and the Einstein Equations (Oxford Mathematical Monographs) by Yvonne Choquet-Bruhat (PDF)

Description

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 conjectureshave 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 openquestions in the field.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Okay, this book has positive and negative aspects to it.First the negative aspects. There are typos, which should be expected for such a huge book’s first edition. Some are severe, others are not (e.g. when showing a rank-2 tensor is symmetric, it writes $X_{ab}=X_{ab}$ instead of $X_{ab}=X_{ba}$). These are the only negatives that come to mind.The positives are that this is probably the most (if not *the*) authoritative reference on constraints in general relativity. It covers York’s conformally formulated constraints, and Moncrief’s contributions as well. This is done in a scholarly manner, so one can refer to the original sources, and in a self-contained cohesive manner (so you don’t have to refer to the original sources). It is really quite beautifully written.It may be a bit intimidating for the uninitiated working with constraints. I cannot help but apologize to the neophytes, I know no good introduction to the canonical formulation of gravity (except perhaps Poisson’s book “The Relativist’s Toolkit”). I cannot really deem this either a good or bad introduction, I was using the book as a reference.There are exercises, however, so if the reader performs all the exercises…she will be far more astute when it comes to the computations and theory behind esoteric topics in general relativity.But wait, there’s more! This book covers black holes (in a rather mathematical way, so all of your favorite singularity theorems are here presented with proofs in a cohesive and beautifully well written manner).My two cents is to refer to this book when working on canonical formulations of gravity; I am currently in a reading group on black hole thermodynamics, and this book is my first recommendation to other students in the group.

⭐This is truly great presentation of relativity. The first three chapters could easily form a course in relativity for graduate students. This is a book full of useful information from a master of the subject.

⭐The print is good and the content is interesting!

⭐Hard to read but, at least as additionally source, worth the effort. From the grand dame of the inital value problem.good book, came too late though

⭐As announced. Highly recommended!!

Keywords

Free Download General Relativity and the Einstein Equations (Oxford Mathematical Monographs) in PDF format
General Relativity and the Einstein Equations (Oxford Mathematical Monographs) PDF Free Download
Download General Relativity and the Einstein Equations (Oxford Mathematical Monographs) 2008 PDF Free
General Relativity and the Einstein Equations (Oxford Mathematical Monographs) 2008 PDF Free Download
Download General Relativity and the Einstein Equations (Oxford Mathematical Monographs) PDF
Free Download Ebook General Relativity and the Einstein Equations (Oxford Mathematical Monographs)