Enlargement of the Transformation Group of General Relativity: Spherically Symmetric Solutions

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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17 pages, 2 figures, with correction of equation (1). Has been submitted to Gen Rel Grav

Scientific paper

A theory has been presented previously in which the geometrical structure of a real four-dimensional space time manifold is expressed by a real orthonormal tetrad, and the group of diffeomorphisms is enlarged. Field equations were obtained from a variational principle which is invariant under the larger group. In this paper a suitable Lagrangian for a field with sources is presented and spherically symmetric solutions for both the free field and the field with sources are given. A stellar model and an external, free-field model are developed. The resulting models are compared to the internal and external Schwarzschild models. The theory implies that the external stress-energy tensor has non-compact support and hence may give the geometrical foundation for dark matter.

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