On the ``Derivation'' of Einstein's Field Equations

Details On the ``Derivation'' of Einstein's Field Equations On the ``Derivation'' of Einstein's Field Equations

Feb 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972amjph..40..224c&link_type=abstract

American Journal of Physics, Volume 40, Issue 2, pp. 224-234 (1972).

Physics

3

Scientific paper

An attempt is made to clarify the physical and the mathematical reasonings that underlie Einstein's laws of gravitation. It appears that only by a mixture of physical reasonableness, mathematical simplicity, and aesthetic sensibility can one arrive at Einstein's field equations. The general theory of relativity is in fact an example of ``the power of speculative thought.'' The topics considered include a discussion of the principle of equivalence and the view of space-time as a geometric manifold. Two ``derivations'' of Einstein's equations are given: one based on physical reasonableness and the other based on a variational principle and mathematical simplicity.

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