Introduction to General Relativity, Black Holes, and Cosmology
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Product details:
- Publisher OUP Oxford
- Date of Publication 20 November 2014
- ISBN 9780199666454
- Binding Hardback
- No. of pages304 pages
- Size 254x201x21 mm
- Weight 754 g
- Language English 0
Categories
Short description:
A precise yet simple introduction to the foundations and main consequences of General Relativity. The first five chapters from Choquet-Bruhat's General Relativity and the Einstein Equations (2008) have been updated with new sections and chapters on black holes, gravitational waves, singularities and more to form this textbook.
MoreLong description:
This is an open access title. It is made available under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 International licence. It is available to read and download as a PDF version on the Oxford Academic platform.
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.
[F]or a reader who already knows some general relativity, Choquet-Bruhat's book is an ideal introduction to the mathematical approach.
Table of Contents:
Part A: Fundamentals
Riemannian and Lorentzian Geometry
Special Relativity
General Relativity
The Einstein equations
The Schwarzschild spacetime.RK3
Black holes
Cosmology
Part B: Advanced Topics
General Einsteinian spacetimes. The Cauchy problem.
Relativistic fluids
Relativistic Kinetic Theory