Gravitational waves in metric-affine gravity theory

Alejandro Jim\'enez-Cano; Yuri N. Obukhov

Gravitational waves in metric-affine gravity theory

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arxiv 2010.14528 v2 pith:B4Q3B4DJ submitted 2020-10-27 gr-qc hep-th

Gravitational waves in metric-affine gravity theory

Alejandro Jim\'enez-Cano , Yuri N. Obukhov This is my paper

classification gr-qc hep-th

keywords wavegravitationalansatzgravitymetric-affinepropertiesquadraticsolutions

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We derive the exact gravitational wave solutions in a general class of quadratic metric-affine gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed from the torsion, nonmetricity and the curvature. The ansatz for the gravitational wave configuration and the properties of the wave solutions are patterned following the corresponding ansatz and the properties of the plane-fronted electromagnetic wave.

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New exact pp-wave solutions in cubic metric-affine gravity have dynamical torsion and nonmetricity and cause a scalar polarization mode in gravitational waves.