Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1993-02-26
Int.J.Mod.Phys. A12 (1997) 5067-5080
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, TO-JLL-P2/92
Scientific paper
10.1142/S0217751X9700270X
A model of two--dimensional gravity with an action depending only on a linear connection is considered. This model is a topological one, in the sense that the classical action does not contain a metric or zweibein at all. A metric and an additional vector field are instead introduced in the process of solving equations of motion for the connection. They satisfy the constant curvature equation. It is shown that the general solution of these equations of motion can be described by using the space of orbits under the action of the Weyl group in the functional space containing all pairs formed by a metric and a vectorfield. It is shown also that this model admits an equivalent description by using a family of actions depending on the metric and the connection as independent variables.
Ferraris Marco
Francaviglia Mauro
Volovich Igor
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