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Plane-fronted waves in metric-affine gravity

Alberto Garcı́aDepartamento de Física, CINVESTAV–IPN, Apartado Postal 14–740, C.P. 07000, México, D.F., MexicoAlfredo Macı́asDepartamento de Física, CINVESTAV–IPN, Apartado Postal 14–740, C.P. 07000, México, D.F., MexicoDirk PuetzfeldInstitute for Theoretical Physics, University of Cologne, D-50923 Köln, GermanyJ. SocorroInstituto de Física de la Universidad de Guanajuato, Apartado Postal E-143, C.P. 37150, León, Guanajuato, Mexico
2000en
ABI

Abstract

We study plane-fronted electrovacuum waves in metric-affine gravity theories with a cosmological constant. Their field strengths are, on the gravitational side, curvature ${R}_{\ensuremath{\alpha}}^{\ensuremath{\beta}},$ nonmetricity ${Q}_{\ensuremath{\alpha}\ensuremath{\beta}},$ torsion ${T}^{\ensuremath{\alpha}}$ and, on the matter side, the electromagnetic field strength F. Our starting point is the work by Ozsv\'ath, Robinson, and R\'ozga on type N gravitational fields in general relativity as coupled to null electromagnetic fields.

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Cited by 30 references