Exact solutions of Einsteins field equations Cover; Half title; Series title; Title; Copyright; Contents; Preface; List of Tables; Notation; Complex conjugates and constants; Indices; Metric and tetrads; Bivectors; Derivatives; Connection and curvature; Physical fields; Symmetries; 1 Introduction; 2 Differential geometry without a metric; 3 Some topics in Riemannian geometry; 4 The Petrov classification; 5 Classification of the Ricci tensor and the energy momentum tensor; 6 Vector fields; 7 The Newman Penrose and related formalisms; 8 Continuous groups of transformations; isometry and homothety groups. A completely revised and updated edition of this classic text covering important new methods and many recently discovered solutions. This book gives a comprehensive review of all known solutions of Einsteins field equations. Indispensable for those working on exact solutions in relativity or using them in physical or mathematical problems