AT1  Extended Theories of Gravity and Quantum Cosmology 
Speaker 
Pasic, Vedad 
Coauthors 
Barakovic, Elvis 
Talk Title 
Axial Torsion Waves in Metricaffine Gravity 
Abstract 
We construct new explicit vacuum solutions of quadratic metricaffine gravity. The approach of metricaffine gravity in using an independent affine connection produces a theory with 10+64 unknowns, which implies admitting torsion and possible nonmetricity. Our spacetimes are generalisations of classical ppwaves, fourdimensional Lorentzian spacetimes which admit a nonvanishing parallel spinor field. We generalize this definition to metric compatible spacetimes with ppmetric and purely axial torsion. It has been suggested that one can interpret that the axial component of torsion as the Hodge dual of the electromagnetic vector potential. We compare these solutions with our previous results and other solutions of classical models describing the interaction of gravitational and neutrino fields. 
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