Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole

Understand

We obtain an exact analytic expression for the quasinormal modes of a noncommutative massless scalar field in the background of a massive spinless BTZ black hole up to the first order in the deformation parameter.

• We also show that the equations of motion governing these quasinormal modes are identical in form to the equations of motion of a commutative massive scalar field in the background of a fictitious massive spinning BTZ black hole.
• This results hints at a duality between the commutative and noncommutative systems in the background of a BTZ black hole.
• Using the obtained results for quasinormal mode frequencies, the area and entropy spectra for the BTZ black hole in the presence of noncommutativity are calculated.