Research PapersNo Access

SPECIAL SOLUTIONS FOR RICCI FLOW EQUATION IN 2D USING THE LINEARIZATION APPROACH

Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering, Magurele, P. O. Box MG-6, RO-077125 Bucharest, Romania

Search for more papers by this author

and

MIHAI VISINESCU

Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering, Magurele, P. O. Box MG-6, RO-077125 Bucharest, Romania

Search for more papers by this author

https://doi.org/10.1142/S021773230501892XCited by:9 (Source: Crossref)

Abstract

The 2D Ricci flow equation in the conformal gauge is studied using the linearization approach. Using a nonlinear substitution of logarithmic type, the emergent quadratic equation is split in various ways. New special solutions involving arbitrary functions are presented. Some special reductions are also discussed.

Keywords:

PACS: 02.30.Jk, 04.60.Kz

References

I. Bakas, JHEP 0308, 013 (2003). ADS, Google Scholar
I. Bakas, Fortsch. Phys. 53332, 464 (2004). Google Scholar
I. Bakas, C. R. Phys. 6, 175 (2005). Crossref, Web of Science, ADS, Google Scholar
I. Bakas, hep-th/0507284 . Google Scholar
H.-D. Cao et al. (eds.) , Collected Papers on Ricci Flow ( International Press , 2003 ) . Google Scholar
S. Nojiri and S. D. Odintsov, Int. J. Mod. Phys. A 16, 1015 (2001). Link, Web of Science, Google Scholar
D. Grumiller, W. Kummer and D. V. Vassilievich, Phys. Rep. 369, 327 (2002). Crossref, Web of Science, ADS, Google Scholar
J. D. Brown , Lower Dimensional Gravity ( World Scientific , 1993 ) . Google Scholar
B. Grammaticos, A. Ramani and J. Hietarinta, Phys. Lett. A 74, 1056 (1994). Google Scholar
A. S. Carstea, A. Ramani and B. Grammaticos, Chaos, Solitons and Fractals 14, 155 (2002). Crossref, Web of Science, ADS, Google Scholar
A. Ramani, B. Grammaticos and S. Tremblay, J. Phys. A: Math. Gen. 33, 1 (2000). Crossref, Google Scholar
P. Rosenau, Phys. Rev. Lett. 74, 1056 (1995). Crossref, Web of Science, Google Scholar
A. S. Carstea and M. Visinescu, in preparation . Google Scholar
J. G. Berryman and C. J. Holland, J. Math. Phys. 23, 983 (1982). Crossref, Web of Science, ADS, Google Scholar
K. Higashijima and E. Itou, Prog. Theor. Phys. 109, 751 (2003). Crossref, Web of Science, ADS, Google Scholar
E. Itou, hep-th/0409220 . Google Scholar
E. Witten, Phys. Rev. D 44, 314 (1991). Crossref, Web of Science, ADS, Google Scholar
V. A. Fateev, E. Onofri and Al. B. Zamolodchikov, Nucl. Phys. B 406, 521 (1993). Crossref, Web of Science, ADS, Google Scholar
M. Gutperleet al., JHEP 0301, 073 (2003). ADS, Google Scholar