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arxiv: 1306.5966 · v1 · pith:KW4WMWRAnew · submitted 2013-06-25 · 🌀 gr-qc · physics.hist-ph

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

classification 🌀 gr-qc physics.hist-ph
keywords fieldeinsteinequationaccordinganotherapproachbuchdahl-likec-squared
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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.

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