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Einstein, Hilbert, and the Theory of Gravitation : Historical Origins of General Relativity Theory

Author: Jagdish Mehra
Publisher: Dordrecht : Springer Netherlands, 1974.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jagdish Mehra
ISBN: 9789401021944 9401021945
OCLC Number: 851367170
Description: 1 online resource (96 pages)
Contents: 1. Introduction --
2. Steps Towards a New Theory of Gravitation --
2.1 The Principles of Equivalence and Relativity --
2.2 Abraham's Objections --
2.3 Nordström's Theory --
2.4 Einstein and Grossmann: Search for the Mathematical Tools of General Relativity --
2.5 The Foundation of General Relativity --
3. Physics and Geometry --
3.1 The Role of Axiomatization in Hilbert's Work --
3.2 Concepts of Space and Geometry --
3.3 Space-Time and Invariants --
3.4 Mie's Field Theory of Matter --
3.5 Hilbert's Communication to the Göttingen Academy --
3.6 Axioms of Hilbert's Theory of Matter --
3.7 Hilbert's Fundamental Theorem, Energy Conservation and the World Function --
4. Completion of the Theory of Gravitation --
4.1 General Covariance and the Equivalence Principle --
4.2 Theory of the Gravitational Field --
4.3 Consequences and Applications of the Theory of Gravitation --
4.4 The Cosmological Term --
5. Physical Interpretation of General Covariance --
5.1 Axiom of Physical Interpretability --
5.2 Restrictions due to Causality --
5.3 Hilbert's Conclusion --
6. Hamilton's Principle and the Conservation Laws --
6.1 Lorentz and the Hamilton Principle in Einstein's Theory --
6.2 Einstein and the Hamilton Principle --
7. General Covariance and Conservation Laws --
7.1 Energy Conservation and the Theory of Invariants --
7.2 Identities from General Covariance --
7.3 Bianchi Identities and Hilbert's Constraint Conditions --
8. Extension of General Relativity --
8.1 Generalization of Riemannian Geometry --
8.2 Weyl's Unified Theory --
8.3 Five-Dimensional Relativity --
9. 'Ein Bleibender Kern' --
An Enduring Core --
References and Notes --
Index of names.
Responsibility: by Jagdish Mehra.
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