MATHEMATICAL THEORY OF GENERAL RELATIVITY is prepared for M. Sc. Students of Mathematics and Physics. The aim of writing this book is to give the reader a feeling for the necessity and beauty of the laws of general relativity. The contents of the book will attract both mathematicians and physicists which provides motivation and applications of many ideas and powerful mathematical methods of modern analysis and differential geometry. An attempt has been made to make the presentation comprehensive, rigorous and yet simple. Most calculations and transformations have been carried out in great detail. KEY FEATURE: Numerous solved examples using the well known mathematical techniques viz., the tensors and the differential forms in each chapter.
L. N. Katkar.: Department of Mathematics, Shivaji University, Kolhapur
Preface / The Review of Special Relativity / Vectors and Tensors / Geodesic and Parallelism of a Vector Field / Isometries: Homogeneity and Isotropy / Einstein Field Equations and their Applications / The Linearized Theory of Gravitation / Differential Forms / References / Index.