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In this book we shall study the large scale structure of space-time on the basis of Einstein's General Theory of Relativity. The predictions of this theory are in agreement with all the experiments so far performed. However our treatment will be sufficiently general to cover modifications of Einstein's theory such as the Brans-Dicke theory.
While we expect that most of our readers will have some
acquaintance with General Relativity, we have endeavored to write this book so that
it is self-contained apart from requiring a knowledge of simple calculus, algebra
and point set topology. We have therefore
devoted chapter 2 to differential geometry. Our treatment is reasonably modern in
that we have formulated our definitions in a manifestly coordinate independent manner. However for computational convenience we
do use indices at times, and we have for the most part avoided the use of fibre
bundles. The reader with some knowledge of differential geometry may wish to
skip this chapter.
