A gravitational model for a matter-free torsion ball

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

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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.

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Journal of Physics A: Mathematical and General
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03 Aug 2015 13:28
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22 Nov 2022 02:03