# On wave solutions of gauge-invariant generalization of field theories with asymmetric fundamental tensor in a generalized peres space-time

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## Summary

The gauge invariant generalization of field theories with asymmetric fundamental tensor developed by Buchdahl has been considered and its plane wave-like solutions in the sense of Takeno are investigated in generalized Peres space-time, recently considered by the author. It has been shown that under certain conditions these solutions become identical with those of strong field equations of Einstein in the same space-time. It has been also shown that this space-time satisfying the field equations of Buchdahl admits a parallel null vector field and is gravitationally null which further, transforms to other well known forms of space-time under a new time coordinate Z=z-t.

## Keywords

Field Theory Vector Field Field Equation Wave Solution Strong Field
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© Fondazione Annali di Matematica Pura ed Applicata 1977