4 papers
On the Motion of Matter in Spacetime
T. Dereli, R. W. Tucker
We argue that the geodesic hypothesis based on auto-parallels of the Levi-Civita connection may need refinement in theories of gravity with additional scalar fields. This argument…
Topologically massive gravity and black holes in three dimensions
T. Dereli, O. Sarioglu
We obtain a general class of exact solutions to topologically massive gravity with or without a negative cosmological constant. In the first case, we show that the solution is supe…
The Geometry of Self-Dual Gauge Fields
A. H. Bilge, T. Dereli, Ş. Koçak
Self-dual 2-forms in D=2n dimensions are characterised by an eigenvalue criterion. The equivalence of various definitions of self-duality is proven. We show that the self-dual 2-fo…
An Explicit Construction of Self-dual 2-forms in Eight Dimensions
Ayse Humeyra Bilge, Tekin Dereli, Sahin Kocak
The geometry of self-dual 2-forms in eight dimensions is studied. These 2-forms determine an dimensional manifold . We prove that for add , it has only…