198 citations · 843 across the 80 of their papers we have counts for
80 papers
Non-vacuum metrics for the Newman-Unti-Tamburino background: A coordinate-free approach to diverging and twisting solutions
Ayşe Hümeyra Bilge, Tolga Birkandan, Tekin Dereli +1
The geometry of the Newman-Unti-Tamburino (NUT) vacuum solution is characterized as the unique Petrov Type D vacuum metric such that the two double principal null directions form a…
A remarkable dynamical symmetry of the Landau problem
Tekin Dereli, Philippe Nounahon, Todor Popov
We show that the dynamical group of an electron in a constant magnetic field is the group of symplectomorphisms . It is generated by the spinorial realization of…
Weyl Neutrinos In Plane Symmetric Spacetimes
Tekin Dereli, Yorgo Senikoglu
We investigate complex quaternion-valued exterior differential forms over 4-dimensional Lorentzian spacetimes and explore Weyl spinor fields as minimal left ideals within the compl…
General teleparallel metrical geometries
Muzaffer Adak, Tekin Dereli, Tomi S. Koivisto +1
In the conventional formulation of general relativity, gravity is represented by the metric curvature of Riemannian geometry. There are also alternative formulations in flat affine…
Pre-Metric-Bourbaki Algebroids: Cartan Calculus for M-Theory
Aybike Çatal-Özer, Tekin Dereli, Keremcan Doğan
String and M theories seem to require generalizations of usual notions of differential geometry. Such generalizations usually involve extending the tangent bundle to larger vector…
Variational Field Equations of a Majorana Neutrino Coupled to Einstein's Theory of General Relativity
Tekin Dereli, Yorgo Senikoglu
A consistent variational derivation of the Majorana 4-spinor field equations coupled to Einstein's theory of gravitation is given. The equivalence of the first and the second order…