[1306.5966] Einstein's "Prague field-equation" -- another perspective

[1306.5966] Einstein's "Prague field-equation" -- another perspective:

Einstein's "Prague field-equation" -- another perspective

Domenico Giulini

(Submitted on 25 Jun 2013)

I reconsider Einstein's 1912 "Prague-Theory" of static gravity based on a scalar field obeying a non-linear field equation. I point out that this equation follows from the self-consistent implementation of the principle that all energies source the gravitational field according to E=m(c-squared). This makes it an interesting toy-model for the "flat-space approach" to General Relativity, as pioneered by Kraichnan and later Feynman. Solutions modelling stars show features familiar from GR, e.g., Buchdahl-like inequalities. The relation to full GR is also discussed. This lends this toy theory also some pedagogical significance.

Comments:	14 pages, no figures. Based on a talk delivered at the conference "Relativity and Gravitation 100 years after Einstein in Prague", held in Prague 25.-29. June 2012
Subjects:	General Relativity and Quantum Cosmology (gr-qc); History and Philosophy of Physics (physics.hist-ph)
MSC classes:	83C05
Cite as:	arXiv:1306.5966 [gr-qc]
	(or arXiv:1306.5966v1 [gr-qc] for this version)

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