A plane-fronted wave solution in metric-affine gravity
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 $R_{\alpha}{}^{\beta}$, nonmetricity $Q_{\alpha\beta}$, torsion $T^{\alpha}$ 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.
- Publication:
-
Exact Solutions and Scalar Fields in Gravity: Recent Developments
- Pub Date:
- 2001
- DOI:
- 10.48550/arXiv.gr-qc/0011116
- arXiv:
- arXiv:gr-qc/0011116
- Bibcode:
- 2001essf.book..141P
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- 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