Jacobi map and geodesic light-cone gauge: an exact solution*

Abstract

An exact expression for the Jacobi map is furnished. This result has been achieved thanks to the properties of the recently proposed geodesic light-cone gauge. From here, a non-perturbative expression for the area distance is given. It is remarkable that the expression we get nicely appears as the product of a pure source term times a pure observer one. This is true only in the particular gauge we adopt, as shown by transforming the area distance in the synchronous gauge and in the longitudinal one. The consistency among the two expressions is finally checked.