Tolga Birkandan

Conformal Invariance and Near-Extreme Rotating AdS Black Holes

We obtain retarded Greens functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black holes of five-dimensional minimal gauged supergravity. The radial part of the (separable) massless Klein-Gordon equation in such general black hole backgrounds is Heuns equation, due to the singularity structure associated with the three black hole horizons. On the other hand, we find the scaling limit for the near-extreme, near-horizon background where the radial equation reduces to a Hypergeometric equation whose

Dirac Equation in the Background of the Nutku Helicoid Metric

SL(2,{\bf R})^2

Heun-type solutions for Schwarzschild metric with electromagnetic fields

symmetry signifies the underlying two-dimensional conformal invariance, with the two sectors governed by the respective Frolov-Thorne temperatures.

Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces

We study the solutions of the Dirac equation in the background of the Nutku helicoid metric. This metric has curvature singularities, which necessitates imposing a boundary to exclude this point. We use the Atiyah-Patodi-Singer [Math. Proc. Cambridge Philos. Soc. 77, 43 (1975)] nonlocal spectral boundary conditions for both the four and the five dimensional manifolds.

Letter: Three Dimensional Gravity in the Presence of Scalar Fields

We find confluent Heun solutions to the radial equations of two Halilsoy-Badawi metrics. For the first metric, we studied the radial part of the massless Dirac equation and for the second case, we studied the radial part of the massless Klein-Gordon equation.

Energy-dependent harmonic oscillator in noncommutative space

We give examples of where the Heun function exists as solutions of wave equations encountered in general relativity. While the Dirac equation written in the background of Nutku helicoid metric yields Mathieu functions as its solutions in four spacetime dimensions, the trivial generalization to five dimensions results in the double confluent Heun function. We reduce this solution to the Mathieu function with some transformations. We must apply Atiyah-Patodi-Singer spectral boundary conditions to this system since the metric has a singularity at the origin. E-mail addresses: hortacsu@itu.edu.tr, birkandant@itu.edu.tr

Duffin–Kemmer–Petiau oscillator with Snyder-de Sitter algebra

We study a scalar field in curved space in three dimensions. We obtain a static perturbative solution and show that this solution satisfies the exact equations in the asymptotic region at infinity. The new solution gives rise to a singularity in the curvature scalar at the origin. Our solution, however, necessitates the excising the region near the origin, thus avoiding the naked singularity.

An analysis of the wave equation for the

In noncommutative quantum mechanics, the energy-dependent harmonic oscillator problem is studied by solving the Schrodinger equation in polar coordinates. The presence of the noncommutativity in space coordinates and the dependence on energy for the potential yield energy-dependent mass and potential. The correction of normalization condition is calculated and the parameter-dependences of the results are studied graphically.

U(1)^{2}

We present an exact solution of the one-dimensional Bosonic oscillator for spin 1 and spin 0 particles with the Snyder-de Sitter model, where the energy eigenvalues and eigenfunctions are determined for both cases. The wave functions can be given in terms of Gegenbauer polynomials. We also comment on the thermodynamic properties of the system.

gauged supergravity black hole

We study the massless Klein-Gordon equation in the background of the most general rotating dyonic AdS black hole in gauged