2017/08/31 by Marija Dimitrijević Ćirić, Nikola Konjik, Andjelo Samsarov · 43 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Equations of motion #Gauge theory #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Quantum Electrodynamics and Casimir Effect #Quasinormal mode #Scalar (mathematics) #Scalar field #Semiclassical physics #gr-qc #hep-th
paper · pdf · doi:10.1088/1361-6382/aad201
published in Classical and Quantum Gravity 35(17), 175005 (IOP Publishing) · 36 pages, 12 figures; in v2 few explanations added; v3 is a version that appears in Class.Quant.Grav
openalex created_date 2017/08/31 · openalex publication_date 2018/07/09 · arxiv created 2018/10/16 · arxiv updated 2018/10/18 · openalex updated_date 2026/08/05
Abstract Aiming to search for a signal of space-time noncommutativity, we study a quasinormal mode spectrum of the Reissner–Nordström black hole in the presence of a deformed space-time structure. In this context we study a noncommutative (NC) deformation of a scalar field, minimally coupled to a classical (commutative) Reissner–Nordström background. The deformation is performed via a particularly chosen Killing twist to ensure that the geometry remains undeformed (commutative). An action describing a noncommutative scalar field minimally coupled to the RN geometry is manifestly invariant under the deformed gauge symmetry group. We find the quasinormal mode solutions of the equations of motion governing the matter content of the model in some particular range of system parameters which corresponds to a near extremal limit. In addition, we obtain a well defined analytical condition which allows for a detailed numerical analysis. Moreover, there exists a parameter range, rather restrictive though, which allows for obtaining a QNMs spectrum in a closed analytic form. We also argue within a semiclassical approach that NC deformation does not affect the Hawking temperature of thermal radiation.