Hooft G. Introduction to General Relativity

Utrecht University, Institute for Theoretical Physics, 2010. — 68 p. Ver. 10/2010.
This book presents, in a natural and beautiful way, the general relativity as a scheme for describing the gravitational field and the equations it obeys. Starting from physical motivations, curved coordinates are introduced, and then the notion of an affine connection field is added. At a later step, the metric field is added. One then sees clearly how space and time get more and more structure, until finally Einstein's field equations logically come out. Many applications of the theory are briefed and the readers are referred to a carefully prepared literature list for further details. However, extra attention is paid to an application on gravitational radiation which may become impor-tant in the near future but somehow is omitted from introductory text books a bit too often. This book, authored by a master theoretical physicist, serves well as a textbook for an elementary course in General Relativity.