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The Formative Years of RelativityThe History and Meaning of Einstein's Princeton Lectures$
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Jürgen Renn and Hanoch Gutfreund

Print publication date: 2017

Print ISBN-13: 9780691174631

Published to Princeton Scholarship Online: May 2018

DOI: 10.23943/princeton/9780691174631.001.0001

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Generalization of Gravitation Theory

Generalization of Gravitation Theory

Chapter:
(p.293) Appendix II Generalization of Gravitation Theory
Source:
The Formative Years of Relativity
Author(s):

Hanoch Gutfreund

Jürgen Renn

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691174631.003.0022

This chapter attempts to formulate a consistent extension of the theory of general relativity. The starting point of the general theory of relativity is the recognition of the unity of gravitation and inertia (principle of equivalence). From this principle, it follows that the properties of “empty space” were to be represented by a symmetrical tensor expressed in the theory. The principle of equivalence, however, does not give any clue as to what may be the more comprehensive mathematical structure on which to base the treatment of the total field comprising the entire physical reality. As such, this chapter considers the problem of how to find a field structure which is a natural generalization of the symmetrical tensor as well as a system of field equations for this structure which represent a natural generalization of certain equations of pure gravitation.

Keywords:   gravitation theory, general theory of relativity, gravitation, principle of equivalence, field structure, symmetrical tensor, field equations

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