5 M ay 1 99 9 The classical solutions of two - dimensional gravity Hans - Jürgen
نویسنده
چکیده
The solutions of two-dimensional gravity following from a non– linear Lagrangian L = f(R)√g are classified, and their symmetry and singularity properties are described. Then a conformal transformation is applied to rewrite these solutions as analogous solutions of twodimensional Einstein-dilaton gravity and vice versa. KEY : Dilaton gravity in 1+1 dimensions, exact solutions, Birkhoff theorem, conformal transformation Preprint UNIPO-MATH-98-June-8 to appear 1999 in: Gen. Rel. Grav. 31 rec. June 8, 98, revised February 21, 99
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