Introduction to General Relativity, Black Holes and Cosmology (Paperback)

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-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.

《廣義相對論》是一個美麗的幾何理論，其數學公式簡單明瞭，但卻帶來了許多引人注目的物理解釋：引力波、黑洞、宇宙模型等等。

這本入門教材是為對物理學感興趣的數學學生和對精確數學公式感興趣的物理學生（或對世界充滿好奇的科學思維者）而寫的，其中清楚地描述了最近令人驚嘆的實驗和觀測結果，這些結果證實了這一理論，並且不需要專業的物理知識。A部分的數學水平面向本科生，可以作為《廣義相對論》課程的基礎。B部分更加高級，但仍不需要複雜的數學知識。

本書基於Yvonne Choquet-Bruhat的更高級的著作《廣義相對論和愛因斯坦方程》，旨在以精確但盡可能簡單的方式，介紹廣義相對論的基礎和主要結果。從《廣義相對論和愛因斯坦方程》的前五章進行了更新，增加了關於黑洞、引力波、奇異點以及Reissner-Nordstrom和內部Schwarzchild解的新節和新章節。

本書的嚴謹性將為讀者提供完美的準備，以追蹤實際發展中的重大數學進展，並具備建模最新的天體物理和宇宙觀測的能力。本書介紹了基本的廣義相對論，為理解和應用這一基礎理論提供了基礎。