Dereli, Tekin and Tucker, Robin (1981) A gravitational model for a matter-free torsion ball. Journal of Physics A: Mathematical and General, 14 (11). pp. 2957-2967. ISSN 0305-4470
Full text not available from this repository.Abstract
A classical model of a gravitational field is constructed in terms of two distinct geometries. It is formulated in terms of a purely geometric action with distinct densities in different space-time domains. An explicit state spherically symmetric solution for each geometry is found and matching properties across a world tube generated by a closed space-like submanifold are discussed in terms of the associated second fundamental forms. The interior geometry has bounded curvature and torsion. The exterior region has a Schwarzschild geometry. The model simulates distinct phases of the gravitational field and is motivated by E. Cartan's (1922) analogy of torsion effects with dislocation phenomena in continuum mechanics.