
TL;DR
This paper explores plane-fronted wave solutions in a quadratic metric-affine gravity theory, highlighting the roles of nontrivial torsion and nonmetricity beyond common ansatz assumptions.
Contribution
It provides new exact solutions in metric-affine gravity with nontrivial torsion and nonmetricity, expanding understanding of wave phenomena in such theories.
Findings
Derived explicit plane wave solutions with torsion and nonmetricity.
Showed solutions do not fit the triplet ansatz, indicating broader solution space.
Enhanced understanding of wave behavior in quadratic metric-affine gravity.
Abstract
We describe plane-fronted waves in the Yang-Mills type quadratic metric-affine theory of gravity. The torsion and the nonmetricity are both nontrivial, and they do not belong to the triplet ansatz.
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