37 citations · 220 across the 22 of their papers we have counts for
22 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…
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…
Computations of general Heun functions from their integral series representations
Tolga Birkandan, Pierre-Louis Giscard, Aditya Tamar
We present a numerical implementation of the recently developed unconditionally convergent representation of general Heun functions as integral series. We produce two codes in Pyth…
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…
Symbolic analysis of second-order ordinary differential equations with polynomial coefficients
Tolga Birkandan
The singularity structure of a second-order ordinary differential equation with polynomial coefficients often yields the type of solution. It is shown that the -operator method…
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…