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D. Grumiller, R. Jackiw:
"Liouville gravity from Einstein gravity";
in: "TBA", NN, 2008, (eingeladen).

We show that Liouville gravity arises as the limit of pure Einstein gravity in 2+epsilon dimensions as epsilon goes to zero, provided Newton's constant scales with epsilon. Our procedure - spherical reduction, dualization, limit, dualizing back - passes several consistency tests: geometric properties, interactions with matter and the Bekenstein-Hawking entropy are as expected from Einstein gravity.

We show that Liouville gravity arises as the limit of pure Einstein gravity in 2+epsilon dimensions as epsilon goes to zero, provided Newton's constant scales with epsilon. Our procedure - spherical reduction, dualization, limit, dualizing back - passes several consistency tests: geometric properties, interactions with matter and the Bekenstein-Hawking entropy are as expected from Einstein gravity.

http://publik.tuwien.ac.at/files/PubDat_170138.3775

Projektleitung Anton Rebhan:
Gravitation, Chern-Simons Erweiterungen, Topologie und Anwendungen in der Festkörperphysik