2D dilaton gravity made compact

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We show that the equations of motion of two-dimensional dilaton gravity conformally coupled to a scalar field can be reduced to a single non-linear second-order partial differential equation when the coordinates are chosen to coincide with the two scalar fields, the matter field $f$ and the dilaton $ϕ$, which are present in the theory. This result may help solve and understand two- and higher-dimensional classical and quantum gravity.
Latex file, no macros, 8 pages

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