The Value of the Cosmological Constant in a Unified Field Theory with Enlarged Transformation Group

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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8 pages

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The geometrical structure of a real four-dimensional space-time has been extended via the Conservation group with basic field variable being the orthonormal tetrad. Field equations were obtained from a variational principle which is invariant under the conservation group. Recently, symmetric solutions of the field equations have been developed. In this note, the free-field solution is investigated in terms of the value of the scalar curvature and an expression for the cosmological term is developed. This term, while not a constant, has asymptotic values in the range that match nicely with the current value of $\Lambda$. This may add further support to the conclusion that the theory developed by Pandres unifies the fields.

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