| A Unified Approach to Solvable Models of Dilaton Gravity in Two-Dimensions Based on Symmetry (1998) | |||||||||||||||
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| A large class of solvable models of dilaton gravity in two space-time dimensions, capable of describing black hole geometry, are analyzed in a unified way as non-linear sigma models possessing a special symmetry. This symmetry, which can be neatly formulated in the target-space-covariant manner, allows one to decompose the non-linearly interacting dilaton-gravity system into a free field and a field satisfying the Liouville equation with in general non-vanishing cosmological term. In this formulation, all the existent models are shown to fall into the category with vanishing cosmological constant. General analysis of the space-time structure induced by a matter shock wave is performed and new models, with and without the cosmological term, are discussed. PACS number(s): 04.06.+n y e-mail address: kazama@hep3.c.u-tokyo.ac.jp z e-mail address: ysatoh@hep1.c.u-tokyo.ac.jp x e-mail address: tsuchiya@hep1.c.u-tokyo.ac.jp 1 Introduction Everyone would agree that quantum physics of b... | |||||||||||||||
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