• Home
• Browse articles
• About
• Editorial board
• Instructions for authors
• For reviewers
• My details

Research article

Ricci Flow Gravity

Wolfgang Graf

Fakultät für Physik, Universität Wien, Austria.

author email corresponding author email

PMC Physics A 2007, 1:3doi:10.1186/1754-0410-1-3

Published:	2  October  2007

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.

PACS Codes: 04.50.+h, 04.20.Cv, 02.40.Hw