Titlebook: General Relativity and Relativistic Astrophysics; Norbert Straumann Textbook 19881st edition Springer-Verlag Berlin Heidelberg 1988 Accret

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The Lie DerivativeBefore defining the Lie derivative of tensor fields, we introduce some important concepts.

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Differential FormsCartan’s calculus of differential forms is particularly useful in general relativity. We begin our discussion with some algebraic preliminaries.

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Affine ConnectionsIn this section we introduce an important additional structure on differentiable manifolds, thus making it possible to define a “covariant derivative” which transforms tensor fields into other tensor fields.

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IntroductionThe discovery of the general theory of relativity (GR) has often been justly praised as one of the greatest intellectual achievements of a single human being. At the ceremonial presentation of Hubacher’s bust of Einstein in Zürich, W. Pauli said:

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