## Introduction to General Relativity, Black Holes, and CosmologyGeneral 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-Nordstrom 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

Introduction to General Relativity, Black Holes, and Cosmology Yvonne Choquet-Bruhat Limited preview - 2015 |

Introduction to General Relativity, Black Holes, and Cosmology Yvonne Choquet-Bruhat Limited preview - 2014 |

Introduction to General Relativity, Black Holes, and Cosmology Yvonne Choquet-Bruhat Limited preview - 2014 |

### Common terms and phrases

2-tensor approximation arbitrary asymptotically black hole called Cauchy problem causal Chapter Choquet-Bruhat Christoffel symbols coefficients components computation constant constraints cosmological curvature curve defined definition denoted density differential equation Einstein equations Einsteinian spacetime electromagnetic field energy equivalence principle Euclidean Exercise first-order formula geodesic geometric given global gravitational field hence hyperbolic identity implies inertial initial data Lagrangian Lie derivative linear Lorentz Lorentzian manifold Lorentzian metric mathematical Maxwell equations metric g Minkowski metric Minkowski spacetime momentum motion Newton’s Newtonian null observer orthogonal parameter particles perfect fluid physical proper frame properties quasidiagonal relativistic rest mass Ricci tensor Riemann tensor Riemannian Robertson–Walker satisfies Schwarzschild metric Schwarzschild spacetime Show sin2 singularity solution space spacelike spacetime metric Special Relativity spherically symmetric star stress–energy tensor submanifold theorem timelike vacuum Einstein equations vanish vector field velocity wave equations wave fronts wave gauge Yang–Mills zero