Ricci Flow Gravity

PMC Physics A - Tập 1 - Trang 1-13 - 2007
Wolfgang Graf1
1Fakultät für Physik, Universität Wien, Austria

Tóm tắt

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

Tài liệu tham khảo

Garfinkle D, Horowitz GT, Strominger A: Phys Rev D. 1991, 43: 3140-10.1103/PhysRevD.43.3140. [Erratum: Phys Rev D 1992, 45:3888]. Sundrum A: arXiv:hep-th/0312212 Ortín T: Gravity and Strings. 2004, Cambridge: Cambridge University Press Graf W: Phys Rev D. 2003, 67: 024002-10.1103/PhysRevD.67.024002. [ArXiv:gr-qc/0209002] Perelman G: arXiv:math.DG/0211159 Perelman G: arXiv:math.DG/0303109 Perelman G: arXiv:math.DG/0307245 Hamilton RS: J Diff Geom. 1982, 17: 255- DeTurck DM: J Diff Geom. 1983, 18: 157- Lott J: arXiv:math.DG/0211065 Chow B, Knopf D: The Ricci Flow: An Introduction. 2004, Providence: American Mathematical Society Topping PM: Lectures on the Ricci flow. 2006, Cambridge: Cambridge University Press Morgan J, Tian G: arXiv:math.DG/0607607 Mitter P: arXiv:math-ph/0505008 Lott J: Commun Math Phys. 1986, 107: 165-10.1007/BF01206956. Oliynyk T, Suneeta V, Woolgar E: Nucl Phys B. 2006, 739: 441-10.1016/j.nuclphysb.2006.01.036. [ArXiv:hep-th/0510239] Tseytlin AA: Phys Rev D. 2007, 75: 064024-10.1103/PhysRevD.75.064024. [ArXiv:hep-th/0612296] Ellis GFR: Proceedings of the Tenth International Conference on General Relativity and Gravitation. Edited by: Bertotti B, de Felice F, Pasolini A. 1984, Dordrecht: Reidel, 215- Carfora M, Marzuoli A: Phys Rev Lett. 1984, 53: 2245-10.1103/PhysRevLett.53.2445. Buchert T, Carfora M: Phys Rev Lett. 2002, 90: 031101-10.1103/PhysRevLett.90.031101. Buchert T: arXiv:0707.2153 [gr-qc] Bakas I: arXiv:hep-th/0511057 Brans C: arXiv:gr-qc/0506063 Fujii Y, Maeda KI: The Scalar-Tensor Theory of Gravitation. 2003, Cambridge: Cambridge University Press Faraoni V: Cosmology in Scalar-Tensor Theory. 2004, Dordrecht: Kluwer Huisken G: J reine angew Math. 1987, 382: 35- Jordan P: Schwerkraft und Weltall. 1955, Braunschweig: Vieweg Weinberg S: Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. 1972, New York: Wiley Misner CW, Thorne KS, Wheeler JA: Gravitation. 1973, San Francisco: Freeman Bleecker DD: J Geom Phys. 1990, 7: 363-10.1016/0393-0440(90)90028-2. List B: PhD thesis. 2005, Freie Universität Berlin Will CM: [http://www.livingreviews.org/lrr-2006-3]