Eur. Phys. J. C (2015) 75: 144
https://doi.org/10.1140/epjc/s10052-015-3369-x

Regular Article - Theoretical Physics

Quantization of rotating linear dilaton black holes

Department of Physics, Eastern Mediterranean University, Gazimagosa, North Cyprus, Mersin 10, Turkey

^* e-mail: izzet.sakalli@emu.edu.tr

Received: 19 June 2014
Accepted: 21 March 2015
Published online: 9 April 2015

Abstract

In this paper, we focus on the quantization of four-dimensional rotating linear dilaton black hole (RLDBH) spacetime describing an action, which emerges in the Einstein–Maxwell-dilaton–axion (EMDA) theory. RLDBH spacetime has a non-asymptotically flat geometry. When the rotation parameter “” vanishes, the spacetime reduces to its static form, the so-called linear dilaton black hole (LDBH) metric. Under scalar perturbations, we show that the radial equation reduces to a hypergeometric differential equation. Using the boundary conditions of the quasinormal modes (QNMs), we compute the associated complex frequencies of the QNMs. In a particular case, QNMs are applied in the rotational adiabatic invariant quantity, and we obtain the quantum entropy/area spectra of the RLDBH. Both spectra are found to be discrete and equidistant, and independent of the -parameter despite the modulation of QNMs by this parameter.