# Constructing a space from the geodesic equations

## Description

Abstract Given a space with a metric tensor defined on it, it is easy to write down the system of geodesic equations on it by using the formula for the Christoffel symbols in terms of the metric coefficients. In this paper the inverse problem, of reconstructing the space from the geodesic equations is addressed. A procedure is developed for obtaining the metric tensor explicitly from the Christoffel symbols. The procedure is extended for determining if a second order quadratically semi-linear system c... Title of program: geodesicCOMMENTED.nb Catalogue Id: AEBA_v1_0 Nature of problem The code we have developed calculates the space when the geodesic equations are given. Versions of this program held in the CPC repository in Mendeley Data AEBA_v1_0; geodesicCOMMENTED.nb; 10.1016/j.cpc.2008.04.001 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)