Einstein's General Theory of Relativity: A Concise Introduction

This book provides an elementary introduction to Einstein's general theory of relativity and the physics of curved space-times, avoiding complex mathematical concepts. It covers black holes, gravitational waves, and the expanding Universe, and includes problem sets and technical mathematical details in the appendices. It is intended for undergraduate physics students with a background in special relativity and advanced mechanics.

Format: Paperback / softback
Length: 219 pages
Publication date: 29 June 2023
Publisher: Cambridge University Press

Einstein's general theory of relativity can be a notoriously challenging subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves, and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets, and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.

Einstein's general theory of relativity is a complex and intricate subject that can be particularly challenging for students embarking on it for the first time. The theory encompasses a wide range of mathematical concepts, including connection coefficients and tensors, which are often adorned with a bewildering array of indices. This book aims to provide a straightforward and accessible introduction to Einstein's theory and the physics of curved space-times, minimizing the use of these complex mathematical structures whenever possible.

In the first half of the book, the author delves into the fundamental principles of black holes, gravitational waves, and the expanding Universe. These topics are presented in a clear and concise manner, without the use of tensors or other advanced mathematical techniques. The author explains these concepts using simple language and analogies, making them accessible to students with a basic understanding of special relativity and advanced mechanics.

Once the basic principles are established, the author turns to deriving Einstein's field equations and using them to explain the dynamical evolution of the early Universe and the creation of the first elements. This section of the book is particularly fascinating, as it provides a deeper understanding of the underlying mechanisms that shape our universe. The author carefully walks through the derivation of the field equations, explaining each step in detail and providing examples to illustrate their relevance.

Throughout the book, each chapter concludes with a series of problem sets designed to reinforce the concepts covered in that chapter. These problem sets are challenging but manageable, and they provide students with an opportunity to apply their knowledge and develop their problem-solving skills. Additionally, the appendices contain technical mathematical details that are essential for a thorough understanding of the theory.

This book is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics. It provides a solid foundation for further study in this field and serves as a valuable resource for anyone interested in exploring the complexities of Einstein's general theory of relativity. Whether you are a student, a researcher, or simply a curious mind, this book will provide you with a deeper understanding of the universe and the remarkable achievements of Albert Einstein.

ISBN-13: 9781009263733