MGAT8 - Alternative Theories |
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Speaker |
Itin, Yakov |
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Talk Title |
Energy-momentum current for coframe gravity |
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Abstract |
The obstruction for the existence of an energy momentum tensor for the gravitational field is connected with differential-geometric features of the Riemannian manifold. It has not to be valid for alternative geometrical structures. In this talk, a general three parametric class of coframe models is considered. For a conjugate field strength $\F^a$, the field equation turns out to have a form completely similar to the Maxwell field equation $d*\F^a=\T^a$. By applying the Noether procedure, the source 3-form $\T^a$ is shown to be connected with the diffeomorphism invariance of the Lagrangian. Thus the source $\T^a$ of the coframe field is interpreted as the total conserved energy-momentum current. Thus even a small-parametric change of GR turns it into a well defined Lagrangian theory. |
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Talk view |
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