6 papers
A coordinate-free approach to obtaining exact solutions in general relativity: The Newman-Unti-Tamburino solution revisited
Emir Baysazan, Ayse Humeyra Bilge, Tolga Birkandan +1
The Newman-Unti-Tamburino (NUT) solution is characterized as the unique Petrov Type vacuum metric such that the two double principal null directions form an integrable distribu…
An Explicit Kaluza-Klein Reduction of Einstein's Gravity in on
Tekin Dereli, Yorgo Senikoglu
We study a six-dimensional Kaluza-Klein theory with spacetime topology and analyze the gauge sector arising from dimensional reduction. Using normalized Killing ve…
Born-Infeld signatures in AdS black hole thermodynamics and gravitational lensing
Ekrem Aydıner, Tekin Dereli, İzzet Sakallı +2
We investigate the thermodynamic and optical properties of Einstein-Born-Infeld-Anti-de Sitter (EBI-AdS) black holes (BHs). Our study derives the Hawking temperature using standard…
Scattering of massive neutrino test fields from a gravitational pulse
Tekin Dereli, Yorgo Senikoglu
Linearized Einstein-Weyl equations are solved precisely in the context of sandwich gravitational waves. The neutrino's energy-momentum depends on the geometry and composition of th…
The Exterior Calculus of Quadratic Gravity
Metin Arık, Ahmet Baykal, Tekin Dereli +1
The metric tensor field equations for the general quadratic curvature gravity in four spacetime dimensions are derived by making use of the algebra of the exterior forms defined on…
Reformulation of continuum defects in terms of the general teleparallel geometry in the language of exterior algebra
Muzaffer Adak, Tekin Dereli, Ertan Kok +1
We discuss the geometric formulation of continuum defects consisting of dislocations and disclinations. After reviewing the metric affine geometry and the present geometric formula…