David Douglas McKinnon

Cosmological analogues of the Bartnik-McKinnon solutions.

We present a numerical classification of the spherically symmetric, static solutions to the Einstein–Yang–Mills equations with cosmological constant Λ. We find three qualitatively different classes of configurations, where the solutions in each class are characterized by the value of Λ and the number of nodes, n, of the Yang–Mills amplitude. For sufficiently small, positive values of the cosmol...

Generalized Douglas-Weyl Finsler Metrics

In this paper, we study generalized Douglas-Weyl Finsler metrics. We find some conditions under which the class of generalized Douglas-Weyl (&alpha, &beta)-metric with vanishing S-curvature reduce to the class of Berwald metrics.

Editorial Douglas

Dynamics of Yang-Mills Cosmology Bubbles in Bartnik-McKinnon Spacetimes

We investigate the dynamics of a Yang-Mills cosmology (YMC, the FRW type spacetime) bubble in the Bartnik-McKinnon (BK) spacetimes. Because a BK spacetime can be identified to a YMC spacetime with a finite scale factor in the neighborhood of the origin, we can give a natural initial condition for the YMC bubble. The YMC bubble can smoothly emerge from the origin without an initial singularity. ...

On Special Generalized Douglas-Weyl Metrics

In this paper, we study a special class of generalized Douglas-Weyl metrics whose Douglas curvature is constant along any Finslerian geodesic. We prove that for every Landsberg metric in this class of Finsler metrics, ? = 0 if and only if H = 0. Then we show that every Finsler metric of non-zero isotropic flag curvature in this class of metrics is a Riemannian if and only if ? = 0.