198 citations · 843 across the 80 of their papers we have counts for
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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…
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…
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…
Simple Supergravity pp-Waves
Tekin Dereli, Yorgo Senikoglu
Non-gauge generated exact solutions of simple supergravity field equations that describe pp-waves in Rosen coordinates are presented in the language of complex quaternion valued ex…
Neutrino Fields in a Sandwich Gravitational Wave Background
Tekin Dereli, Ozay Gurtug, Mustafa Halilsoy +1
Sandwich gravitational waves are given globally in terms of step functions at the boundaries. Linearized Einstein-Weyl equations are solved exactly in this background in Rosen coor…