TY - JOUR

T1 - A gravitational model for a matter-free torsion ball

AU - Dereli, Tekin

AU - Tucker, Robin

PY - 1981/11/1

Y1 - 1981/11/1

N2 - 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.

AB - 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.

U2 - 10.1088/0305-4470/14/11/018

DO - 10.1088/0305-4470/14/11/018

M3 - Journal article

VL - 14

SP - 2957

EP - 2967

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 11

ER -