You are cordially invited to the Mathematical Physics Seminar organized by the Department of Mathematics.
Speaker: Metin Gürses (Bilkent)
“Nonabelian Plane Waves in General Relativity”
Abstract: Following Coleman and Guven, we study Einstein-Yang-Mills field equations in several D-dimensional spacetime geometries. Firstly, we investigate nonabelian plane waves in the pp-wave geometry. We show that the Yang-Mills field equations reduce to Laplace eqnuation in D-2 Euclidean geometry and the profile function of the pp-wave metric of the spacetime is determined in terms of the nan-abelian waves. Second we introduce cosmological constant by using the Kerr-Schild-Kundt metrics (KSK). The Yang-Mills equations reduce to a simpler modifaction of the Laplace Equation in D-2 dimensions and metric’s profile functions satisfies a linear but a complcated equation. Lastly we shall consider the pp-wave metrics of the spatially constant curvature geometries. The solutions of Einstein-Yang-Mills equations in this case are similar to the solutions of Einstein-Yang-Mills field equations in pp-wave geometry. There exist exact solutions so that the nonabelian plane waves in the pp-wave and pp-wave with constant curvature spacetimes have bounded energies.
Date: Monday, October 12, 2026
Time: 15:30
Place: Mathematics seminar room SA-141 and ZOOM
To request the event link, please send a message to yheydarzade@bilkent.edu.tr.