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An exact-plane fronted wave solution in metric-affine gravity

2000/11/30 by Dirk Puetzfeld, Puetzfeld, Dirk · 10 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Affine transformation #Ansatz #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #Curvature #Electromagnetic field #Exact solutions in general relativity #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #General relativity #Geometry #Gravitation #Gravitational field #Mathematical physics #Mathematics #Physics #Quantum #Quantum gravity #Quantum mechanics #Theoretical physics #f(R) gravity #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0011116

published in arXiv (Cornell University) (Cornell University) · 10 pages, Invited lecture at a Conference in honour of Heinz Dehnen's 65th and Dietrich Kramer's 60th birthday." Held at CINVESTAV-IPN, Mexico City, 2-6 October 2000. To appear in: ``Exact solutions and scalar field in gravity: Recent Developments." A. Macias, J. Cervantes, and C. Laemmerzahl eds., Kluwer, Dordrecht (2001) to be published

arxiv created 2000/11/30 · openalex publication_date 2000/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study plane-fronted electrovacuum waves in metric-affine gravity (MAG) with cosmological constant in the triplet ansatz sector of the theory. Their field strengths are, on the gravitational side, curvature Rαβ, nonmetricity Qαβ, torsion Tα and, on the matter side, the electromagnetic field strength F. Here we basically present, after a short introduction into MAG and its triplet subcase, the results of earlier joint work with Garcia, Macias, and Socorro. Our solution is based on an exact solution of Ozsvath, Robinson, and Rozga describing type N gravitational fields in general relativity as coupled to electromagnetic null-fields.

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