Quasi-linear equations in coframe gravity
نویسنده
چکیده
We consider a certain variant of teleparallel gravity: a differential manifold endowed with a smooth coframe field. The differentialgeometric structure on the manifold can be characterized by the objects of anholonomity and its derivative objects of curvature. We construct a full list of the first and second order SO(1, 3)-covariants (oneand two-indexed quantities) and a most general quasi-linear field equation with free parameters. A part of the parameters are fixed by a condition that the field equation is satisfied by a quasi-conformal coframe with a harmonic conformal function. Thus we obtain a wide class of field equations with a solution that yields to the MajumdarPapapetrou metric and, in particularly, to a viable Yilmaz-Rosen metric. ∗ email [email protected]
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