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PMC Physics A
Article . 2007 . Peer-reviewed
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PMC Physics A
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arXiv.org e-Print Archive
Preprint . 2006
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PMC Physics A
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https://dx.doi.org/10.48550/ar...
Article . 2006
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Ricci Flow Gravity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 02 Oct 2007Embargo end date: 01 Jan 2006 English Publisher:Springer Science and Business Media LLCJournal:PMC Physics A, volume 1 (eissn: 1754-0410, Copyright policy )
Authors: Wolfgang Graf;

doi: 10.1186/1754-0410-1-3 , 10.48550/arxiv.gr-qc/0602054

arXiv: http://arxiv.org/abs/gr-qc/0602054

Ricci Flow Gravity

Abstract

A theory of gravitation is proposed, modeled after the notion of a Ricci flow. In addition to the metric an independent volume enters as a fundamental geometric structure. Einstein gravity is included as a limiting case. Despite being a scalar-tensor theory the coupling to matter is different from Jordan-Brans-Dicke gravity. In particular there is no adjustable coupling constant. For the solar system the effects of Ricci flow gravity cannot be distinguished from Einstein gravity and therefore it passes all classical tests. However for cosmology significant deviations from standard Einstein cosmology will appear.

15 pages. V2: improved presentation, in particular Jordan vs. Brans-Dicke and on viability. Added section on physical interpretation. V3: more references. Reworked to agree with published version

Related Organizations
Keywords

High Energy Physics - Theory, Mathematics - Differential Geometry, Nuclear and High Energy Physics, Astrophysics (astro-ph), FOS: Physical sciences, Astronomy and Astrophysics, Statistical and Nonlinear Physics, General Relativity and Quantum Cosmology (gr-qc), Astrophysics, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), FOS: Mathematics, Instrumentation

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Average
Average
Green
gold
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