By Hans Stephani,Dietrich Kramer,Malcolm MacCallum,Cornelius Hoenselaers,Eduard Herlt

A paperback variation of a vintage textual content, this e-book supplies a distinct survey of the recognized recommendations of Einstein's box equations for vacuum, Einstein-Maxwell, natural radiation and excellent fluid assets. It introduces the principles of differential geometry and Riemannian geometry and the tools used to signify, locate or build recommendations. The recommendations are then thought of, ordered through their symmetry workforce, their algebraic constitution (Petrov sort) or different invariant houses corresponding to precise subspaces or tensor fields and embedding houses. contains all of the advancements within the box because the first variation and comprises six thoroughly new chapters, masking themes together with iteration tools and their software, colliding waves, type of metrics via invariants and coverings of homothetic motions. This e-book is a vital source for graduates and researchers in relativity, theoretical physics, astrophysics and arithmetic. it could even be used as an introductory textual content on a few mathematical facets of basic relativity.

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