Spontaneously induced gravity: From rippled dark matter to Einstein corpuscles

Aharon Davidson, Ilya Gurwich

Research output: Contribution to journalConference articlepeer-review


Suppose General Relativity, provocatively governed by a dimensional coupling constant, is a spontaneously induced theory of Gravity. Invoking the Zee mechanism, we represent the reciprocal Newton constant by a Brans Dicke scalar field, and let it damped oscillating towards its General Relativistic VEV. The corresponding cosmological evolution, in the Jordan frame, averagely resembles the familiar dark radiation -> dark matter -> dark energy domination sequence. The fingerprints of the theory are fine ripples, hopefully testable, in the FRW scale factor; they die away at the strict General Relativity limit. Also derived is the spherically symmetric static configuration associated with spontaneously induced General Relativity. At the stiff scalar potential limit, the exterior Schwarzschild solution is recovered. However, due to level crossing at the would have been horizon, it now connects with a novel dark core characterized by a locally varying Newton constant. The theory further predicts light Einstein-style gravitational corpuscles (elementary particles?) which become point-like at the GR-limit.

Original languageEnglish
JournalProceedings of Science
StatePublished - 1 Jan 2005
Event2005 International Europhysics Conference on High Energy Physics, HEP 2005 - Lisboa, Portugal
Duration: 21 Jul 200527 Jul 2005

ASJC Scopus subject areas

  • General


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