New metric-affine generalizations of gravitational wave geometries

Abstract

In this paper we explore generalizations of metric structures of the gravitational wave type to geometries containing an independent connection. The aim is simply to establish a new category of connections compatible, according to some criteria, to the known metric structures for gravitational waves and, additionally, provide some properties that can be useful for the search of solutions of this kind in different theories.

25 pages, no figures, 1 table. We corrected some typos and references. Version to be published in Eur. Phys. J. C

References in corpus (4)

• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• General Kundt spacetimes in higher dimensions
• Quadratic metric-affine gravity
• PP-waves with torsion and metric-affine gravity

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• Does the metric play a fundamental role in the building of gravitational models?