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Cited by 2,184

The DOI matches its Crossref record.

Exact Solutions of Einstein's Field Equations

Stephani, Hans, Kramer, Dietrich, MacCallum, Malcolm, Hoenselaers, Cornelius, Herlt, Eduard·2003
DOI 10.1017/cbo9780511535185
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Abstract

A paperback edition of a classic text, this book gives a unique survey of the known solutions of Einstein's field equations for vacuum, Einstein-Maxwell, pure radiation and perfect fluid sources. It introduces the foundations of differential geometry and Riemannian geometry and the methods used to characterize, find or construct solutions. The solutions are then considered, ordered by their symmetry group, their algebraic structure (Petrov type) or other invariant properties such as special subspaces or tensor fields and embedding properties. Includes all the developments in the field since the first edition and contains six completely new chapters, covering topics including generation methods and their application, colliding waves, classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics. It can also be used as an introductory text on some mathematical aspects of general relativity.

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Crossref · 10.1017/cbo9780511535185

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Metadata

Authors
Stephani, H., Kramer, D., MacCallum, M., Hoenselaers, C., & Herlt, E.
Publisher
Cambridge University Press
Published
2003-03-27
DOI
10.1017/cbo9780511535185
Cited by
2,184
References
0
Licence
www.cambridge.org/core/terms (unspecified, 2420 d)

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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

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Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.