37 citations · 220 across the 22 of their papers we have counts for
11 papers · 1 filter
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…
Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field
Tolga Birkandan
We study a charged and massive scalar field in the background of the Nutku-Ghezelbash-Kumar metric which is obtained by the addition of a time coordinate to the Nutku helicoid metr…
A massless scalar particle coupled to the Wahlquist metric
T. Birkandan, M. Hortacsu
We study the solutions of the wave equation where a massless scalar field is coupled to the Wahlquist metric, a type-D solution. We first take the full metric and then write simpli…
Three dimensional DKP oscillator in a curved Snyder space
B. Hamil, M. Merad, T. Birkandan
The Snyder-de Sitter model is an extension of the Snyder model to a de Sitter background. It is called triply special relativity (TSR) because it is based on three fundamental para…
Exact solution of the wave equation of a scalar particle in the zero mass limit of Kerr and Kerr-(anti-)de-Sitter space-times
T. Birkandan, M. Hortaçsu
Heun-type exact solutions emerge for both the radial and the angular equations for the case of a scalar particle coupled to the zero mass limit of both the Kerr and Kerr-(anti)de-S…
Symbolic and Numerical Analysis in General Relativity with Open Source Computer Algebra Systems
Tolga Birkandan, Ceren Güzelgün, Elif Şirin +1
We study three computer algebra systems, namely SageMath (with SageManifolds package), Maxima (with ctensor package) and Python language (with GraviPy module), which allow tensor m…