Introduction to General Relativity

Preface; Notation; Important formulae and physical constants; 1. Introduction; 2. Special relativity, non-inertial effects and electromagnetism; 3. Differential geometry I: vectors, forms and absolute differentiation; 4. Differential geometry II: geodesics and curvature; 5. Einstein field equations, the Schwarzschild solution and experimental test of general relativity; 6. Gravitomagnetic effects: gyroscopes and clocks; 7. Gravitational collapse and black holes; 8. Action principles, conservation laws and the Cauchy problem; 9. Gravitational radiation; 10. Cosmology; 11. Gravitation and field theory; References; Index.

Lewis Ryder is an Honorary Senior Lecturer in Physics at the University of Kent, UK. His research interests are in geometrical aspects of particle theory and its parallels with general relativity.

'This superb and spirited modern introduction to Einstein's theory of gravitation covers all of the essential topics with admirable clarity. A penetrating discussion of the basic concepts of the theory is followed by a wonderfully lucid development of the mathematical formalism using modern differential geometry. Ample illustrations and problems enhance and complement the text; moreover, a generous list of references is provided at the end of each chapter for further reading. This scholarly yet accessible textbook is highly recommended for a course on general relativity.' Bahram Mashhoon, University of Missouri 'This book offers a lucid introduction to Einstein's theory of gravitation which is finally part of mainstream physics in many undergraduate final year options. The style is pedagogic and notable for a gentle but concise introduction to modern calculational tools in applied differential geometry along with traditional tensor calculus. The student will surely find the careful attention to detail in the many explicit computations of advanced topics (such as action principles, pseudo-tensors, gravito-magnetism and the Dirac equation in a curved space-time) of immense help in developing an understanding of general relativity. The book provides a welcome fresh approach for all students wishing to take the subject further.' Robin Tucker, Lancaster University 'Lewis Ryder, an exceptionally fine teacher ... has written a lucid account of the subject, suitable for undergraduates familiar with the special theory. In this handsomely produced volume, Ryder develops the subject from its simple principles into a mathematical edifice of unsurpassed mathematical beauty... I would recommend anyone teaching this subject to take a look at this text, a strong candidate for the best treatment on the market... extremely thorough and clear ... this could emerge as a market leader in a crowded field.' Times Higher Education Supplement 'This modern and inspiring textbook is highly